Answer:
The total number of ways to select 9 women and 4 men for the committee is 50,050.
Step-by-step explanation:
The club has 13 female members and 8 male members.
The committee to be formed must have 9 female members and 4 male members.
The possible number of ways to select 9 female from 13 females is:
[tex]n(F)={13\choose 9}=\frac{13!}{9!(13-9)!}=715[/tex]
The possible number of ways to select 4 male from 8 males is:
[tex]n(M)={8\choose 4}=\frac{8!}{4!(8-4)!}=70[/tex]
Compute the possible total number of ways to select 9 women and 4 men for the committee as follows:
Total number of ways to select 9 women and 4 men = n (F) × n (M)
[tex]=715\times70\\=50050[/tex]
Thus, the total number of ways to select 9 women and 4 men for the committee is 50,050.
