Answer:
The number of ways to form the team is 6435.
Explanation:
The number of ways to form the team can be determined by combination method. So that;
Number of ways = [tex]\frac{n!}{r!(n-r)!}[/tex]
where r = 7 and n = 15.
= [tex]\frac{15!}{(15 - 7)!7!}[/tex]
= [tex]\frac{15!}{8!7!}[/tex]
= [tex]\frac{15*14*13*12*11*10*9*8!}{8!*7*6*5*4*3*2*1}[/tex]
= [tex]\frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1}[/tex]
= [tex]\frac{32432400}{5040}[/tex]
= 6435
The number of ways to form the team is 6435.
