Question

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.
How many 4
dip sundaes are possible if order is not considered and no flavor is​ repeated?

11.8#7

Answer 1

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}\\\\C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}\\\\C(28,4)=20,475\ ways$