Question

In how many ways can 15 things be divided into three groups containing 8, 4 and 3 things respectively?

Answer 1

Answer:

Step-by-step explanation:

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1737274

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Answer 2

Answer:

225225

Step-by-step explanation:

FIRST METHOD

Step 1

First, you need to choose 8 people to fill the first group

15C8

The number of ways = 6435

Step 2

Select 4 more people out of the remaining (15-8) to be in the second group.

7C4

The number of ways = 35

Step 3

Select 3 more out of the remaining 3

3C3

The number of way are = 1

Step 4

(6435)(35)(1) = 225225

SECOND METHOD

$\frac{15!}{8!4!3!}$