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In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively

User Hallidave
by
8.4k points

1 Answer

5 votes

Answer:

2520 ways

Explanation:

Given


n = 10


r = (2,3,5)

Required

The number of selection

First, select 2 people from 10 in 10C2 ways.

There are 8 people, left.

Next, select 3 people from 8 in 8C3 ways.

There are 5 people left.

Lastly, select 5 from 5 in 5C5 ways

So, we have:


Total = ^(10)C_2 * ^8C_3 * ^5C_5

Using combination formula


Total = 45 * 56 * 1


Total = 2520

User Arsh Multani
by
8.1k points

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