CA Foundation Exam  >  CA Foundation Questions  >  Out of 6 teachers and 4 boys, a committee of ... Start Learning for Free
Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee?
Most Upvoted Answer
Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In ho...
**Problem:**
Out of 6 teachers and 4 boys, a committee of 8 is to be formed. In how many ways can this be done when there should not be less than four teachers in the committee?

**Solution:**
To solve this problem, we need to use the concept of combinations.

**Step 1:** Determine the number of ways to select 4 or more teachers from the 6 teachers.
- We can select 4 teachers from 6 in C(6,4) ways.
- We can select 5 teachers from 6 in C(6,5) ways.
- We can select 6 teachers from 6 in C(6,6) ways.

**Step 2:** Determine the number of ways to select the remaining members of the committee.
- We need to select 4 members from the remaining 8 (4 boys and the selected teachers) in C(8,4) ways.

**Step 3:** Multiply the results from Step 1 and Step 2 to get the total number of ways to form the committee.
- For each case in Step 1, we have C(8,4) ways to select the remaining members.
- Therefore, the total number of ways to form the committee is:
C(6,4) * C(8,4) + C(6,5) * C(8,3) + C(6,6) * C(8,2)

**Step 4:** Simplify the result.
- C(6,4) = 15
- C(6,5) = 6
- C(6,6) = 1
- C(8,4) = 70
- C(8,3) = 56
- C(8,2) = 28
- Therefore, the total number of ways to form the committee is:
15 * 70 + 6 * 56 + 1 * 28 = 1186

**Answer:**
There are 1186 ways to form the committee with at least 4 teachers.
Community Answer
Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In ho...
45
Explore Courses for CA Foundation exam
Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee?
Question Description
Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee?.
Solutions for Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? defined & explained in the simplest way possible. Besides giving the explanation of Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee?, a detailed solution for Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? has been provided alongside types of Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? theory, EduRev gives you an ample number of questions to practice Out of 6 teachers and 4 boys, a committee of 8 is to be formed . In how many ways can this be done when there should not be less than four teachers in the committee? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev