A country has two political parties, the Reds and the Blues. The 100-member senate has 44 Reds and 56 Blues. How many ways are t

Question

1 year ago

11

here to pick a 10 member committee of senators with the same number of Reds as Blues

1 answer:

Lelechka [254] · Answer 1 · 2023-07-24T19:43:33+03:00

There are 4.15E12 ways to select the members of the committee to have the same number of Reds as Blues

<h3>How to determine the number of ways?</h3>

The given parameters are:

Reds = 44

Blues = 56

Committee member = 10

To have the same number of Reds as Blues, the committee must have 5 reds and 5 blues.

So, the number of ways is;

Ways = 44C5 * 56C5

Evaluate the combination expressions:

Ways = 1.086008 E+6 * 3.819816 E+6

Evaluate the product

Ways = 4.15E12

Hence, there are 4.15E12 ways to select the members of the committee