Answer :
Answer: 35
Step-by-step explanation:
The number of combinations of r things selected out of n things is given by
[tex]^nC_r= \dfrac{n!}{r!(n-r)!}[/tex]
Given , the total number of types of toppings available = 7
The number of toppings needed to be selected = 4
Then, the number of ways to do this would be
[tex]^7C_4=\dfrac{7!}{4!(7-4)!}\\\\=\dfrac{7\times6\times5\times4!}{4!3!}\\\\=\dfrac{7\times5}{1}=35[/tex]
Hence, the number of combinations of 5 scoops of ice cream and 4 toppings are possible = 35.
