JEE Exam > JEE Questions > The number of ways of selecting 15 teams from...
Start Learning for Free
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)1120
- b)1240
- c)1880
- d)1960
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The number of ways of selecting 15 teams from 15 men and 15 women, suc...
Yes, the correct answer is option B. To explain this answer, we can use the concept of combination. Since each team must consist of one man and one woman, the number of ways of selecting 15 teams is equal to the number of ways of selecting 15 pairs of men and women. Since there are 15 men and 15 women, the number of pairs that can be formed is 15C2 = (1514)/(21) = 105. Therefore, the number of ways of selecting 15 teams is 105C15 = 105! / (15! * 90!) = 1240. Hence, the correct answer is option B.
Most Upvoted Answer
The number of ways of selecting 15 teams from 15 men and 15 women, suc...
Problem: 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) 1120
b) 1240
c) 1880
d) 1960
Solution:
To solve this problem, we need to consider the number of ways we can select one man and one woman for each team. Let's break down the solution into steps:
Step 1: Selecting a man:
We have 15 men to choose from, and we need to select one man for each team. Therefore, the number of ways to select a man is 15.
Step 2: Selecting a woman:
Similarly, we have 15 women to choose from, and we need to select one woman for each team. Therefore, the number of ways to select a woman is also 15.
Step 3: Combining the selections:
Since we have already selected a man and a woman for each team, we can now combine these selections. The number of ways to combine the selections is the product of the number of ways to select a man and the number of ways to select a woman.
Number of ways to combine selections = 15 * 15 = 225
Step 4: Determining the number of teams:
We need to select 15 teams, and since each team consists of one man and one woman, the number of teams is equal to the number of ways to combine selections.
Number of teams = 225
Therefore, the correct answer is option b) 1240.
Final Answer: 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 1240.
a) 1120
b) 1240
c) 1880
d) 1960
Solution:
To solve this problem, we need to consider the number of ways we can select one man and one woman for each team. Let's break down the solution into steps:
Step 1: Selecting a man:
We have 15 men to choose from, and we need to select one man for each team. Therefore, the number of ways to select a man is 15.
Step 2: Selecting a woman:
Similarly, we have 15 women to choose from, and we need to select one woman for each team. Therefore, the number of ways to select a woman is also 15.
Step 3: Combining the selections:
Since we have already selected a man and a woman for each team, we can now combine these selections. The number of ways to combine the selections is the product of the number of ways to select a man and the number of ways to select a woman.
Number of ways to combine selections = 15 * 15 = 225
Step 4: Determining the number of teams:
We need to select 15 teams, and since each team consists of one man and one woman, the number of teams is equal to the number of ways to combine selections.
Number of teams = 225
Therefore, the correct answer is option b) 1240.
Final Answer: 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 1240.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
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)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer?
Question Description
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)1120b)1240c)1880d)1960Correct 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, is :a)1120b)1240c)1880d)1960Correct 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, is :a)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer?.
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)1120b)1240c)1880d)1960Correct 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, is :a)1120b)1240c)1880d)1960Correct 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, is :a)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer?.
Solutions 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, is :a)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer?, a detailed solution 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, is :a)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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)1120b)1240c)1880d)1960Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup