Answer:
a) 5765760
b) 60480
c) 5705280
Step-by-step explanation:
Assuming that order is not important:
Number of women = 7
Number of men = 9
Members of the delegation = 6
a) How many delegations are possible?
[tex]n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760[/tex]
b) How many of these delegations have all men?
[tex]n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4 \\n_{men} = 60480[/tex]
c) How many of these delegations have at least one woman?
[tex]n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280[/tex]
