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The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman is
- a)1960
- b)15!
- c)(15!)2
- d)14!
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The number of ways of selecting 15 teams from 15 men and 15 women, su...
Understanding the problem:
We are given 15 men and 15 women, and we need to select 15 teams such that each team consists of a man and a woman.
Solution:
To solve this problem, we can use the concept of permutations and combinations.
Step 1: Selecting a man and a woman for each team
Since each team consists of one man and one woman, we need to select one man from the 15 available options and one woman from the other 15 available options. The number of ways to do this is given by the product of the number of ways to select a man and a woman.
Number of ways to select a man = 15 (as there are 15 men)
Number of ways to select a woman = 15 (as there are 15 women)
So, the total number of ways to select a man and a woman for each team = 15 * 15 = 225.
Step 2: Arranging the selected teams
Once we have selected the 15 teams, we need to arrange them. Since the order in which the teams are arranged does not matter, we need to find the number of permutations of the 15 selected teams.
Number of permutations of 15 teams = 15!
Step 3: Combining the steps
To find the total number of ways of selecting 15 teams such that each team consists of a man and a woman, we need to multiply the number of ways in Step 1 and Step 2.
Total number of ways = Number of ways to select a man and a woman for each team * Number of permutations of the selected teams
Total number of ways = 225 * 15! = 15!
Therefore, the correct answer is option B, 15!.
We are given 15 men and 15 women, and we need to select 15 teams such that each team consists of a man and a woman.
Solution:
To solve this problem, we can use the concept of permutations and combinations.
Step 1: Selecting a man and a woman for each team
Since each team consists of one man and one woman, we need to select one man from the 15 available options and one woman from the other 15 available options. The number of ways to do this is given by the product of the number of ways to select a man and a woman.
Number of ways to select a man = 15 (as there are 15 men)
Number of ways to select a woman = 15 (as there are 15 women)
So, the total number of ways to select a man and a woman for each team = 15 * 15 = 225.
Step 2: Arranging the selected teams
Once we have selected the 15 teams, we need to arrange them. Since the order in which the teams are arranged does not matter, we need to find the number of permutations of the 15 selected teams.
Number of permutations of 15 teams = 15!
Step 3: Combining the steps
To find the total number of ways of selecting 15 teams such that each team consists of a man and a woman, we need to multiply the number of ways in Step 1 and Step 2.
Total number of ways = Number of ways to select a man and a woman for each team * Number of permutations of the selected teams
Total number of ways = 225 * 15! = 15!
Therefore, the correct answer is option B, 15!.
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The number of ways of selecting 15 teams from 15 men and 15 women, su...
First team can be selected in (15C1.15C1) way, second in (14C1.14C1) way and so on. So, number of ways of selecting 15 teams 
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The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman isa)1960b)15!c)(15!)2d)14!Correct answer is option 'B'. Can you explain this answer?
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The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman isa)1960b)15!c)(15!)2d)14!Correct answer is option 'B'. 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 The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman isa)1960b)15!c)(15!)2d)14!Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman isa)1960b)15!c)(15!)2d)14!Correct answer is option 'B'. Can you explain this answer?.
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