Answer: 2100
Step-by-step explanation:
Given : A pizza place offers 5 different cheeses and 10 different toppings.
Then, the number of pizzas made with 2 cheese and 4 toppings is given by using combinations.
The combination of n things taken r at a time is given by :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Then, the number of pizzas made with 2 cheese and 4 toppings will be :-
[tex]^5C_2\times^{10}C_4\\\\=\dfrac{5!}{2!(5-2)!}\times\dfrac{10!}{4!(10-4)!}\\\\=10\times210=2100[/tex]
Hence, the number of pizzas made with 2 cheese and 4 toppings =2100
