Answer:
d) 330
Step-by-step explanation:
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)
That is [tex]11_{C_{4} }[/tex] ways
by using formula [tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]
now simplification
[tex]11_{C_{4} } = \frac{11!}{(11-4)!4!}[/tex]
= [tex]\frac{11X10X9X8X7!}{(7!)4X3X2X1}[/tex]
after cancelling 7! and on simplification
= [tex]\frac{11X10X9X8}{4X3X2X1}[/tex]
after cancellation we get 330 ways
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330
