Suppose we want to choose letters, without replacement, from distinct letters.

(a) If the order of the choices is relevant, how many ways can this be done?

(b) If the order of the choices is not relevant, how many ways can this be done?

Respuesta :

The number of ways when the choice is not relevant is 1716

How to determine the number of ways?

The number of letters are:

Letter, n = 13

The letter to choose are:

r = 6

Relevant choice

When the choice is relevant, we have:

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^{13}P_6[/tex]

Evaluate

Ways = 241235520

Hence, the number of ways when the choice is relevant is 1235520

Not relevant choice

When the choice is not relevant, we have:

[tex]Ways = ^nC_r[/tex]

This gives

[tex]Ways = ^{13}C_6[/tex]

Evaluate

Ways = 1716

Hence, the number of ways when the choice is not relevant is 1716

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE