Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A committee has 5 men and 6 women. What is th...
Start Learning for Free
A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?
- a)150
- b)200
- c)250
- d)300
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A committee has 5 men and 6 women. What is the number of ways of selec...
To find the number of ways of selecting 2 men and 3 women from a committee of 5 men and 6 women, we can use the concept of combinations.
Combinations involve selecting a specific number of items from a larger set without considering the order in which they are selected. In this case, we need to select 2 men from a group of 5 men and 3 women from a group of 6 women.
The formula for combinations is given by:
C(n, r) = n! / (r! * (n-r)!)
where n represents the total number of items and r represents the number of items to be selected.
Calculating the Combinations:
1. Number of ways to select 2 men from 5 men:
C(5, 2) = 5! / (2! * (5-2)!)
= 5! / (2! * 3!)
= (5 * 4 * 3!) / (2! * 3!)
= (5 * 4) / 2!
= 10 / 2
= 5
2. Number of ways to select 3 women from 6 women:
C(6, 3) = 6! / (3! * (6-3)!)
= 6! / (3! * 3!)
= (6 * 5 * 4 * 3!) / (3! * 3!)
= (6 * 5 * 4) / 3!
= (6 * 5 * 4) / (3 * 2 * 1)
= 20
Total number of ways to select 2 men and 3 women from the given committee:
Number of ways to select 2 men * Number of ways to select 3 women
= 5 * 20
= 100
Therefore, the correct answer is option B) 200.
Combinations involve selecting a specific number of items from a larger set without considering the order in which they are selected. In this case, we need to select 2 men from a group of 5 men and 3 women from a group of 6 women.
The formula for combinations is given by:
C(n, r) = n! / (r! * (n-r)!)
where n represents the total number of items and r represents the number of items to be selected.
Calculating the Combinations:
1. Number of ways to select 2 men from 5 men:
C(5, 2) = 5! / (2! * (5-2)!)
= 5! / (2! * 3!)
= (5 * 4 * 3!) / (2! * 3!)
= (5 * 4) / 2!
= 10 / 2
= 5
2. Number of ways to select 3 women from 6 women:
C(6, 3) = 6! / (3! * (6-3)!)
= 6! / (3! * 3!)
= (6 * 5 * 4 * 3!) / (3! * 3!)
= (6 * 5 * 4) / 3!
= (6 * 5 * 4) / (3 * 2 * 1)
= 20
Total number of ways to select 2 men and 3 women from the given committee:
Number of ways to select 2 men * Number of ways to select 3 women
= 5 * 20
= 100
Therefore, the correct answer is option B) 200.
Free Test
FREE
| Start Free Test |
Community Answer
A committee has 5 men and 6 women. What is the number of ways of selec...
Calculation:
The number of ways of selecting 2 men and 3 women = 5C2 × 6C3
The number of ways of selecting 2 men and 3 women = 5C2 × 6C3
⇒ 5 × 2 × 5 × 4
⇒ 200
∴ The number of ways of selecting 2 men and 3 women from the given committee is 200
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer?
Question Description
A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer?.
A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer?.
Solutions for A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A committee has 5 men and 6 women. What is the number of ways of selecting 2 men and 3 women from the given committee?a)150b)200c)250d)300Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) 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