3 years ago

PLEASE HELP! URGENT!

Mathematics

2 answers:

dedylja [7]3 years ago

7 0

I’m sorry I don’t know

iris [78.8K]3 years ago

5 0

The biggest one is there it’s obvious.

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Answer:

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Step-by-step explanation:

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3 years ago

A committee of eight congressman will be selected from a group of 11 Democrats and seven Republicans. Find the number of ways of

Maksim231197 [3]

Answer: 3,465

Step-by-step explanation:

Given, Number of Democrats= 11

Number of Republicans = 7

Total persons in the group =18

Number of congressman will be selected from the group = 8

Now , according to the combinations , the number of ways of obtaining a committee with exactly 3 Democrats.= (3 Democrats , 5 Republicans)

$=^{11}C_3\times^7C_5\\\\=\dfrac{11!}{3!8!}\times\dfrac{7!}{5!2!}\\\\=\dfrac{11\times10\times9\times8!}{6\times8!}\times\dfrac{7\times6\times5!}{5!\times2}\\\\=165\times21=3465$

Hence, the number of ways of obtaining a committee with exactly 3 Democrats. = 3,465

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