Question

See questions below. Thank you

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

`\begin{gathered} n=10 \\ r=7 \end{gathered}`

STEP 2: answer question a

`^nC_r=(n!)/((n-r)!r!)`

To get the answer,

`\begin{gathered} ^(10)C_7=(10!)/((10-7)!7!) \\ =(10*9*8*7!)/(3!7!)=(10*9*8)/(3!)=120 \end{gathered}`

Hence, 120 different toppings pizza are possible

STEP 3: Answer question b

`=^(75)C_4=(75!)/((75-4)!4!)=1215450`

Hence, 1215450 mini-boxes are possible