Question

At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?
Group of answer choices

10

20

60

125

Answer 1

Answer:

60

Step-by-step explanation:

I just took the quiz and I guessed 60. It was right

Answer 2

Answer:

she can take 60 different paths to visit 3 out of 5 stores.

Step-by-step explanation:

Given:

The number of jewelry shop in the mall=5

Number of shops allison can visit =3

To Find:

Number of ways in which Allison can visit the 3 among 5 shops=?

Solution:

we have to use permutations.

Here, 3 out of 5 stores has to be visited, then permutation is$5P_3 = \frac{5!}{(5-3)!}$

=  $\frac{5!}{2!}$

=  $\frac{(5\times4 \times3 \times2 \times1 )}{(2 \times1 )}$

=$5 \times 4 \times 3$

=$5\times 12$

= 60