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Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements is
- a)4C3.4C2
- b)4C2.4P2
- c)4P2.4P3
- d)4P2.6P3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Eight chairs are numbered 1 to 8. Two women and three men wish to occu...
Problem:
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements is:
a) 4C3.4C2
b) 4C2.4P2
c) 4P2.4P3
d) 4P2.6P3
Approach:
To solve this problem, we need to determine the number of possible arrangements when the women and men select their chairs separately. We can then use the multiplication principle to find the total number of arrangements.
Solution:
Step 1: Calculate the number of possible arrangements for the women:
The women can choose 3 chairs from the 4 available chairs marked 1 to 4. This can be done using the combination formula:
4C3 = 4! / (3! * (4-3)!) = 4
Step 2: Calculate the number of possible arrangements for the men:
After the women have chosen their chairs, there are 5 chairs remaining (chairs 5 to 8). The men can choose 2 chairs from the 5 available chairs. This can be done using the combination formula:
5C2 = 5! / (2! * (5-2)!) = 10
Step 3: Calculate the total number of arrangements:
Since the women and men choose their chairs separately, we can multiply the number of arrangements for the women and the number of arrangements for the men to get the total number of arrangements:
Total number of arrangements = 4 * 10 = 40
Answer:
Therefore, the correct answer is option D) 4P2.6P3, which represents the total number of possible arrangements.
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements is:
a) 4C3.4C2
b) 4C2.4P2
c) 4P2.4P3
d) 4P2.6P3
Approach:
To solve this problem, we need to determine the number of possible arrangements when the women and men select their chairs separately. We can then use the multiplication principle to find the total number of arrangements.
Solution:
Step 1: Calculate the number of possible arrangements for the women:
The women can choose 3 chairs from the 4 available chairs marked 1 to 4. This can be done using the combination formula:
4C3 = 4! / (3! * (4-3)!) = 4
Step 2: Calculate the number of possible arrangements for the men:
After the women have chosen their chairs, there are 5 chairs remaining (chairs 5 to 8). The men can choose 2 chairs from the 5 available chairs. This can be done using the combination formula:
5C2 = 5! / (2! * (5-2)!) = 10
Step 3: Calculate the total number of arrangements:
Since the women and men choose their chairs separately, we can multiply the number of arrangements for the women and the number of arrangements for the men to get the total number of arrangements:
Total number of arrangements = 4 * 10 = 40
Answer:
Therefore, the correct answer is option D) 4P2.6P3, which represents the total number of possible arrangements.
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Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer?
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Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer?.
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer?.
Solutions for Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements isa)4C3.4C2b)4C2.4P2c)4P2.4P3d)4P2.6P3Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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