A Pizza Place offers 10 different toppings on their pizzas. Without the use of a calculator (show your work), find the number of ways they can make pizza with:
a. 4 toppings
b. 5 toppings
c. 4 or 5 toppings
d. 9 toppings
Given -
No. of toppings available = 10
a. 4 toppings
No. of ways are:
C(10,4) = 10C4
=
=
=
= 210
210 ways are possible.
b. 5 topping
C(10,5) = 10C5
=
=
=
= 252
252 ways are possible .
c. 4 or 5 topping
C(10,4) + C(10,5)
= 210 + 252
= 462
462 ways are possible.
d. 9 topping
C(10,9) = 10C9
=
=
= 10
10 ways are possible.
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