Question

A pizza restaurant offers nine choices a vegetarian toppings for pizza

Answer 1

1st option: 126

Explanation:

In this case, we must select from 4 toppings out of 9 that are in total. Since the order of toppings doesn't matter, it would be a combination of 4 in 9.

Therefore, we apply the combination formula that is as follows:

`\begin{gathered} nCr=(n!)/(r!\left(n-r\right)!) \\ \\ n=9,r=4 \\ \\ \text{ We replacing:} \\ \\ _9C_4=(9!)/(4!\cdot(9-4)!) \\ \\ _9C_4=(9!)/(4!\cdot5!)=126 \end{gathered}`

Therefore, the correct option is 1st option: 126