Question

Permutations and combinations: Problem type 2Answer the questions below.(a) From the 12 albums released by a musician, the recording company wishes to release 9 in aboxed set. How many different boxed sets are possible?01(b) How many different committees of size 4 can be formed from 14 people?

Answer 1

We will have the following:

a) From the information we will have that:

`_(12)P_9=(12!)/(9!(12-9)!)\Rightarrow_(12)P_9=220`

So, the total number of different boxed sets possible is 220.

b) From the information we will have that:

`_(14)P_4=(14!)/(4!(14-4)!)\Rightarrow_(14)P_4=1001`

So, the number of possible committees of size 4 is