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Levart [38]
1 year ago
11

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

here to pick a 10 member committee of senators with the same number of Reds as Blues
Mathematics
1 answer:
Lelechka [254]1 year ago
6 0

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

Read more about combination at:

brainly.com/question/11732255

#SPJ4

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Hello, I can help.

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Here is how i got the answer.

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3 years ago
Suppose that 10 sophomores, 3 juniors, and 10 seniors are candidates for a prestigious mathematics award of which three will be
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Answer:

1771 possible ways

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In this case, we need to know first how many candidates are in total:

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Now, we need to choose 3 of them to receive an award. In this case, we have several scenarios, but as it's an award we can also assume that the order in which the candidates are chosen do not matter, so, the formula to use is the following:

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