#### Answer

10

#### Work Step by Step

The number of possible combinations if r items are taken from n items is
nCr =$\frac{n!}{r!(n-r)!}$
We find how many ways a chef can mix three brands of hot sauce when he has 5 brands to choose from.
= 5C3 x 1!
=$\frac{5!}{(5-3)!3!}$
=$\frac{5*4*3!}{3!2!}$
=$\frac{5*4}{2*1}$
= 10 ways