Question

A doughnut shop sells 30 kinds of doughnuts. in how many ways can you (a) get a bag of 12 doughnuts?

Answer 1

Answer:

there are 86493225 possible ways you can get a bag of 12 doughnuts

Step-by-step explanation:

since we do not care about the order of the donuts in the bag ,we will need to calculate the number of possible combinations for 30 different elements in a group of 12 , then:

Number of combinations=C= n! /[(n-r)!*r!]

where n= number of elements , r= group size

replacing values

C= n! /[(n-r)!*r!] = 30!/[(30-12)!*12!] = 86493225 possible combinations