How many ways can Karen choose 5

Question

pizza toppings from a menu of 14
toppings if each topping can only be chosen once?

Answer 1

The number of ways Karen can choose 5 pizza toppings from a menu of 14 toppings without repetition is given by the combination formula:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of toppings and r is the number of toppings chosen. In this case, n = 14 and r = 5.

Substitute the values into the formula:

C(14, 5) = 14! / (5! * (14 - 5)!)
C(14, 5) = 2002

Therefore, there are 2002 ways Karen can choose 5 pizza toppings from a menu of 14 toppings if each topping can only be chosen once.