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:

$_{12}P_9=\frac{12!}{9!(12-9)!}\Rightarrow_{12}P_9=220$

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

b) From the information we will have that:

$_{14}P_4=\frac{14!}{4!(14-4)!}\Rightarrow_{14}P_4=1001$

So, the number of possible committees of size 4 is