# 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.

Question
Asked Sep 26, 2019
1 views

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.

check_circle

## Expert Answer

star
star
star
star
star
1 Rating
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.

Simila...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in