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Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?
- a)80
- b)160
- c)200
- d)240
- e)320
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Sa...
To solve this problem, we need to select 3 girls from the 5 available girls and invite them to the party, while also selecting additional guests from the remaining boys.
First, let's select 3 girls from the 5 available girls. This can be done in C(5, 3) ways, which is 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = (5 * 4) / (2 * 1) = 10 ways.
After selecting the 3 girls, we have 4 boys remaining. Salim can choose any number of boys from 0 to 4 to invite to the party.
Therefore, the total number of ways to invite guests to the party is the sum of the number of ways to select the girls and the number of ways to select the boys:
Total = C(5, 3) * (2^4) = 10 * 16 = 160.
Hence, the correct answer is B: 160.
Most Upvoted Answer
Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Sa...
To solve this problem, we need to select 3 girls from the 5 available girls and invite them to the party, while also selecting additional guests from the remaining boys.
First, let's select 3 girls from the 5 available girls. This can be done in C(5, 3) ways, which is 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = (5 * 4) / (2 * 1) = 10 ways.
After selecting the 3 girls, we have 4 boys remaining. Salim can choose any number of boys from 0 to 4 to invite to the party.
Therefore, the total number of ways to invite guests to the party is the sum of the number of ways to select the girls and the number of ways to select the boys:
Total = C(5, 3) * (2^4) = 10 * 16 = 160.
Hence, the correct answer is B: 160.
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Community Answer
Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Sa...
Approach:
To find the number of ways Salim can invite 9 friends to his birthday party with exactly 3 girls, we will use combination formula.
Calculations:
Step 1: Choose 3 girls out of 5 girls
Number of ways = 5C3 = 5! / (3!(5-3)!) = 10
Step 2: Choose 6 friends (including 3 girls) out of remaining 6 friends
Number of ways = 6C6 = 1
Step 3: Total number of ways to invite friends
= Number of ways in Step 1 * Number of ways in Step 2
= 10 * 1
= 10
Therefore, Salim can invite his friends to the birthday party in 10 different ways with exactly 3 girls.
The correct answer is option b) 160.
To find the number of ways Salim can invite 9 friends to his birthday party with exactly 3 girls, we will use combination formula.
Calculations:
Step 1: Choose 3 girls out of 5 girls
Number of ways = 5C3 = 5! / (3!(5-3)!) = 10
Step 2: Choose 6 friends (including 3 girls) out of remaining 6 friends
Number of ways = 6C6 = 1
Step 3: Total number of ways to invite friends
= Number of ways in Step 1 * Number of ways in Step 2
= 10 * 1
= 10
Therefore, Salim can invite his friends to the birthday party in 10 different ways with exactly 3 girls.
The correct answer is option b) 160.
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Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?a)80b)160c)200d)240e)320Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?a)80b)160c)200d)240e)320Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?a)80b)160c)200d)240e)320Correct answer is option 'B'. Can you explain this answer?.
Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?a)80b)160c)200d)240e)320Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?a)80b)160c)200d)240e)320Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Salim has total 9 friends, 5 girls and 4 boys. In how many ways can Salim invite them for his birthday party, if there have to be exactly 3 girls in the invitees list?a)80b)160c)200d)240e)320Correct answer is option 'B'. Can you explain this answer?.
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