Question

A company has 10 software engineers and 6 civil engineers. In how many ways can a committee of 4 engineers be formed from them such that the committee must contain exactly 1 civil engineer?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

82. A company has 10 software engineers and 6 civil engineers. In how many ways can a committee of 4 engineers be formed from them such that the committee must contain exactly 1 civil engineer?

A. 780 B. 720

C. 800 D. 740

Answer: Option B

Explanation:

The committee should have 4 engineers. But the committee must contain exactly 1 civil engineer.

Hence, select 3 software engineers from 10 software engineers and select 1 civil engineer from 6 civil engineers.

Number of ways this can be done

=10C3 × 6C1

=

10

×

9

×

8

3

×

2

×

1

×

6

=

10

×

9

×

8

=

720

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