Question

If Sam has 6 different hats and 3 different scarves, how many different combinations could he wear

Answer 1

18

He can wear a different hat with one scarf so if that is multiplied by 6*3 you will get 18 different combinations that Sam can wear

Answer 2

If Sam has 6 different hats and 3 different scarves, the number of combinations he could wear is: 18 ways.

Given the following data:

• Number of hats = 6 hats.

• Number of scarves = 3 scarves.

How to determine combinations.

In this exercise, the number of ways 6 different hats and 3 different scarves can be worn without any form of repetition should be calculated by using a combination.

Mathematically, combination is given by this formula:

$_nC_r = \frac{n!}{r!(n-r)!}$

Where:

• n is the number of items.

• r is the number of times of choosing items.

For Sam's combination:

$_hC_s = 6 \times 3$

Sam = 18 ways.

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