Question

How many ways can Aileen choose 5 pizza toppings from a menu of 17 toppings if each topping can only be chosen once?

Answer 1

Step 1:

In this question, we are given the following:

How many ways can Aileen choose 5 pizza toppings from a menu of 17 toppings if each topping can only be chosen once?​

Step 2:

The details of the solution are as follows:

From the question, we can see that:

`17\text{ C}_5=\frac{17!}{5!\text{ \lparen17-5\rparen!}}=\frac{17!}{5!\text{ 12!}}=\text{ }\frac{17\text{ x 16 x 15 x 14 x 13 x 12!}}{5!\text{ x 12!}}=`
`\frac{17\text{ x 16 x 15 x 14 x 13}}{5!}=(742560)/(120)=6188\text{ ways}`

CONCLUSION:

The final answer is:

`6188\text{ ways}`