Question

Introduction to permutations and combinations

Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.
(a)
How many ways can this be done, if the order of the choices is taken into
consideration?
(b)
How many ways can this be done, if the order of the choices is not taken into
consideration?

Answer 1

(a) 6 choices

(b) 3 Choices

Explanation:

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as and the remove the duplicates

Therefore, choices are = = = 3 Choices