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A company employed 7 CA's, 6 MBA's and 3 Engineer's. In how many ways the company can form a committe, if the committee has  two members of each type.
  • a)
    900
  • b)
    1,000
  • c)
    787
  • d)
    945
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A company employed 7 CAs, 6 MBAs and 3 Engineers. In how many ways the...
Given:
- 7 CAs
- 6 MBAs
- 3 Engineers
- Need to form a committee with 2 members of each type

To find: In how many ways can the committee be formed?

Solution:

We can choose 2 CAs out of 7 in 7C2 ways, i.e., 21 ways.
Similarly, we can choose 2 MBAs out of 6 in 6C2 ways, i.e., 15 ways.
And, we can choose 2 Engineers out of 3 in 3C2 ways, i.e., 3 ways.

Total number of ways to form the committee = 21 x 15 x 3 = 945

Therefore, the correct option is (d) 945.
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Community Answer
A company employed 7 CAs, 6 MBAs and 3 Engineers. In how many ways the...
7C2 × 6C2 × 3C2
=7!/2!(7-2)! × 6!/2!(6-2)! × 3!/2!(3-1)!
=7×6×5!/2×1×5! × 6×5×4!/2×1×4! × 3×2!/2!×1!
=7×3 × 3×5 × 3

=21×15×3

=945 ans.
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A company employed 7 CAs, 6 MBAs and 3 Engineers. In how many ways the company can form a committe, if the committee has two members of each type.a)900b)1,000c)787d)945Correct answer is option 'D'. Can you explain this answer?
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