For a segment of a radio show a disc jockey can play 10 records. If there are 12 records to select from in how many ways can the

Question

Oksana_A [137]

3 years ago

10

For a segment of a radio show a disc jockey can play 10 records. If there are 12 records to select from in how many ways can the

program for this segment be arranged

Mathematics

1 answer:

sveta [45] · Answer 1 · 2022-06-02T20:28:33+03:00

Answer:

<h2>66 different ways </h2>

Step-by-step explanation:

This is a combination question. Combination has to do with selection. For example if r objects are to be selected from n pool of oblects, this can be done in nCr number of ways.

nCr = n!/(n-r)r!

According to the question, if a radio show can only play 10 records out of 12 records available, this can be done in 12C10 number of ways.

12C10 = 12!/(12-10)!10!

= 12!/2!10!

= 12*11*10!/2*10!

= 12*11/2

= 6*11

= 66 different ways