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[tex]5P_3 = \frac{5!}{(5-3)!}[/tex]
= [tex]\frac{5!}{2!}[/tex]
= [tex]\frac{(5\times4 \times3 \times2 \times1 )}{(2 \times1 )}[/tex]
=[tex]5 \times 4 \times 3[/tex]
=[tex]5\times 12[/tex]
= 60
