Question

In how many ways can 22 distinct books be given to 5 students

Answer 1

see the photo of answer

Answer 2

Apply Distribution with Grouping Process

Step-by-step explanation:

Use Grouping & then Distribution Process

We know in order to solve a factorial term,

example 3! = $3 \times 2 \times 1$ = 6

Let us organize,

Two Groups of Five and Three Groups of 4 and distribute them to Five Students

Now,

• Number of Ways to Group = $\frac {22!}{5!5!4!4!4!(2!)(3!)}$

= $\frac {22!}{(5!)^2(4!)^3(2!)(3!)}$

• Distribution number (Number of ways) = $\frac {22!}{(5!)^2(4!)^3(2!)(3!)} \times 5!$  

= $\frac {22!}{(5!)(4!)^3(2!)(3!)}$