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In forming a committee of 5 out of 5 males and 6 females how many choices you have to made so that there are 3 males and 2 females?
- a)461
- b)200
- c)1
- d)150
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In forming a committee of 5 out of 5 males and 6 females how many choi...
5C3 x 6C2 = 5 x 4/2 x 6 x 5/2
=150
Most Upvoted Answer
In forming a committee of 5 out of 5 males and 6 females how many choi...
Solution:
To form a committee of 5 members, we need to choose 3 males and 2 females.
Step 1: Choosing 3 males out of 5
We can choose 3 males out of 5 in ^5C3 ways.
^5C3 = (5!)/(3! x 2!) = 10
Step 2: Choosing 2 females out of 6
We can choose 2 females out of 6 in ^6C2 ways.
^6C2 = (6!)/(2! x 4!) = 15
Step 3: Total number of ways of forming a committee of 5 members with 3 males and 2 females
Using the multiplication principle, the total number of ways of forming a committee of 5 members with 3 males and 2 females is given by:
^5C3 x ^6C2 = 10 x 15 = 150
Therefore, the correct answer is option D, 150.
To form a committee of 5 members, we need to choose 3 males and 2 females.
Step 1: Choosing 3 males out of 5
We can choose 3 males out of 5 in ^5C3 ways.
^5C3 = (5!)/(3! x 2!) = 10
Step 2: Choosing 2 females out of 6
We can choose 2 females out of 6 in ^6C2 ways.
^6C2 = (6!)/(2! x 4!) = 15
Step 3: Total number of ways of forming a committee of 5 members with 3 males and 2 females
Using the multiplication principle, the total number of ways of forming a committee of 5 members with 3 males and 2 females is given by:
^5C3 x ^6C2 = 10 x 15 = 150
Therefore, the correct answer is option D, 150.
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In forming a committee of 5 out of 5 males and 6 females how many choices you have to made so that there are 3 males and 2 females?a)461b)200c)1d)150Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In forming a committee of 5 out of 5 males and 6 females how many choices you have to made so that there are 3 males and 2 females?a)461b)200c)1d)150Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In forming a committee of 5 out of 5 males and 6 females how many choices you have to made so that there are 3 males and 2 females?a)461b)200c)1d)150Correct answer is option 'D'. Can you explain this answer?.
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