Question

How many ways can rudy choose 5 pizza toppings from a menu of 20 toppings if each topping can only be chosen once?

Answer 1

total number of toppings=20
No of toppings can be chosen at one time=5
20/5=4
Therefore there are four(4) ways in which rudi can choose pizza toppings.

Answer 2

Given:

Rudy choose 5 pizza toppings from a menu of 20 toppings.

To Find:

Number of ways can rudy choose 5 pizza toppings from a menu of 20 toppings if each topping can only be chosen once.

Solution:

Given 20 pizza toppings.

She has to choose 5 .

• For the first topping, he can choose from 20 different choices.

Since, a topping can only be chose once,

• For the second topping she has 20 - 1 ( already chosen) = 19 choices.

Similarly,

• For the 3rd topping, she has 18 choices,
• 17 choices for 4th topping and
• 16 choices for 5th topping.

Therefore,

total number of choices = 20 x 19x 18 x 17 x 16  =1860480

Rudy choose 5 pizza toppings from a menu of 20 toppings, in 1860480 different ways.