Question

Asked Sep 26, 2019

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A planning committee for a major development project must consist six members. There are eight architects and five engineers available to choose from.

3.2) In how many ways can a planning committee be chosen with at least three engineers (rounded off to zero decimals)? There is at least one architect and one engineer on the planning committee.

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Step 1

**Combination:**

The number of different selections of ‘*r’* elements from a set of ‘*n’* elements is denoted and given by,

Step 2

It is given that the selected committee has six members in it.

There are 8 architects and 5 engineers.

A committee with at least three engineers can have remaining 3 members who are architects or engineers.

Thus, the number of ways a committee be chosen with at least three engineers and remaining architects is as follows:

Step 3

Thus, the number of ways a committee be chosen with at least three engineers and remaining architects is **708 **ways.

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