Question

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

Answer 1

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

What is the combination formula?

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

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

$C_{10,3} = \frac{10!}{3!(10-3)!} = 120$

Thus, she can shoot the ducks in 120 ways.

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