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Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:
(i) If A is selected, neither F nor J can be selected.
(ii) If C is selected, then J is definitely selected.
(iii) H and K will always be selected together.
(iv) I and K will never be selected together.
(ii) If C is selected, then J is definitely selected.
(iii) H and K will always be selected together.
(iv) I and K will never be selected together.
Q. If A is selected, in how many ways can the team be selected?
- a)Two
- b)One
- c)Three
- d)Four
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Direction: Big B, the political wizard, was selecting his team for the...
If A is selected, then C cannot be selected. This would mean that any one of B or D is selected , that is, the second speechwriter can be selected in two ways. If A is selected, then F cannot be selected, that is, both E and G will get selected, that is, the two spokesman can be selected in exactly one way. Now, if A is selected, then J cannot be selected. Also H and K are to be selectedtogether,that is, the two media coordinators can be selected in exactly one way. Therefore, then team can be selected in 2 x 1 x 1, that is, two ways.
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Community Answer
Direction: Big B, the political wizard, was selecting his team for the...
Explanation:
To solve this problem, we will consider the given conditions one by one and calculate the number of ways the team can be selected.
Condition (i): If A is selected, neither F nor J can be selected.
- If A is selected, then we have to select one more speechwriter from B, C, or D. There are 3 possible choices.
- For the spokesman, we have to select two from E, F, or G. We can choose any two from these three, so there are 3 choose 2 = 3 ways to select the spokesmen.
- For the media coordinators, we have to select two from H, I, J, or K. Since J cannot be selected, we have to select one from H, I, or K. There are 3 possible choices. So, there are 3 choose 1 = 3 ways to select the media coordinators.
- Therefore, if A is selected, there are 3 * 3 * 3 = 27 ways to select the team.
Condition (ii): If C is selected, then J is definitely selected.
- If C is selected, then we have to select one more speechwriter from A, B, or D. There are 3 possible choices.
- For the spokesman, we have to select two from E, F, or G. We can choose any two from these three, so there are 3 choose 2 = 3 ways to select the spokesmen.
- For the media coordinators, we have to select two from H, I, J, or K. Since J is definitely selected, we have to select one more from H, I, or K. There are 3 possible choices. So, there are 3 choose 1 = 3 ways to select the media coordinators.
- Therefore, if C is selected, there are 3 * 3 * 3 = 27 ways to select the team.
Condition (iii): H and K will always be selected together.
- If H is selected, then we have to select one more media coordinator from I or K. There are 2 possible choices.
- If K is selected, then we have to select one more media coordinator from H or I. There are 2 possible choices.
- Therefore, there are 2 * 2 = 4 ways to select the media coordinators.
Condition (iv): I and K will never be selected together.
- If I is selected, then we have to select one more media coordinator from H or J. There are 2 possible choices.
- If K is selected, then we have to select one more media coordinator from H or I. There are 2 possible choices.
- Therefore, there are 2 * 2 = 4 ways to select the media coordinators.
Now, let's consider the different cases:
1. A is selected and C is not selected:
- From condition (i), we have already calculated that there are 27 ways to select the team if A is selected.
- If C is not selected, then we have to select one more speechwriter from B or D. There are 2 possible choices.
- Therefore, in this case, there are 27 * 2 = 54 ways to select the team.
2. C
To solve this problem, we will consider the given conditions one by one and calculate the number of ways the team can be selected.
Condition (i): If A is selected, neither F nor J can be selected.
- If A is selected, then we have to select one more speechwriter from B, C, or D. There are 3 possible choices.
- For the spokesman, we have to select two from E, F, or G. We can choose any two from these three, so there are 3 choose 2 = 3 ways to select the spokesmen.
- For the media coordinators, we have to select two from H, I, J, or K. Since J cannot be selected, we have to select one from H, I, or K. There are 3 possible choices. So, there are 3 choose 1 = 3 ways to select the media coordinators.
- Therefore, if A is selected, there are 3 * 3 * 3 = 27 ways to select the team.
Condition (ii): If C is selected, then J is definitely selected.
- If C is selected, then we have to select one more speechwriter from A, B, or D. There are 3 possible choices.
- For the spokesman, we have to select two from E, F, or G. We can choose any two from these three, so there are 3 choose 2 = 3 ways to select the spokesmen.
- For the media coordinators, we have to select two from H, I, J, or K. Since J is definitely selected, we have to select one more from H, I, or K. There are 3 possible choices. So, there are 3 choose 1 = 3 ways to select the media coordinators.
- Therefore, if C is selected, there are 3 * 3 * 3 = 27 ways to select the team.
Condition (iii): H and K will always be selected together.
- If H is selected, then we have to select one more media coordinator from I or K. There are 2 possible choices.
- If K is selected, then we have to select one more media coordinator from H or I. There are 2 possible choices.
- Therefore, there are 2 * 2 = 4 ways to select the media coordinators.
Condition (iv): I and K will never be selected together.
- If I is selected, then we have to select one more media coordinator from H or J. There are 2 possible choices.
- If K is selected, then we have to select one more media coordinator from H or I. There are 2 possible choices.
- Therefore, there are 2 * 2 = 4 ways to select the media coordinators.
Now, let's consider the different cases:
1. A is selected and C is not selected:
- From condition (i), we have already calculated that there are 27 ways to select the team if A is selected.
- If C is not selected, then we have to select one more speechwriter from B or D. There are 2 possible choices.
- Therefore, in this case, there are 27 * 2 = 54 ways to select the team.
2. C
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Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer?
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Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer?.
Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.If A is selected, in how many ways can the team be selected?a)Twob)Onec)Threed)FourCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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