Question

Manny's burrito stand lets customers choose 4 ingredients from the list below to add their burritos:

How many groups of 4 different ingredients can go on a burrito?

Answer 1

The number of groups of 4 different ingredients that can go on a burrito is 210.

Step-by-step explanation:

The number of groups of 4 different ingredients that can go on a burrito can be calculated using combinations. In this case, we have to choose 4 ingredients out of the given list. The number of combinations can be calculated using the formula:

Number of combinations = n! / (r!(n-r)!), where n is the total number of ingredients and r is the number of ingredients chosen.

Applying this formula, the number of combinations is:

Number of combinations = 10! / (4!(10-4)!) = 10! / (4!6!) = (10*9*8*7) / (4*3*2*1) = 210.