Question

You are designing your frozen yogurt at TCBY and want to pick 4 toppings out of 23 different options. How many different combinations of toppings can you make?

Answer 1

Given Data:

The total number of toppings is: 23

The total number of selection is: 4

The expression to calculate the total number of compinations is,

`\begin{gathered} ^(23)C_4=(23*22*21*20)/(4!) \\ =(23*22*21*20)/(1*2*3*4) \\ =(212520)/(24) \\ =8855 \end{gathered}`

Thus, a total of 8855 numbers of combinations are available.