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At a local carnival, Mia is shooting at a row of 10 duck targets. Each time she shoots at a duck, the duck she shoots and any ducks immediately next to it fall down. In how many different ways can Mia shoot three ducks

Sagot :

Using the combination formula, it is found that she can shoot the ducks in 120 ways.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 ducks will be shoot from a set of 10, hence:

[tex]C_{10,3} = \frac{10!}{3!(10-3)!} = 120[/tex]

Thus, she can shoot the ducks in 120 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

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