Question

Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

Answer 1

The number of ways when the choice is not relevant is 4

How to determine the number of ways?

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

$Ways = ^nP_r$

This gives

$Ways = ^4P_3$

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

Not relevant choice

When the choice is not relevant, we have:

$Ways = ^nC_r$

This gives

$Ways = ^4C_3$

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

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