You can answer any 10 questions from a total of 12 questions on an exam. In how many different ways can you select the questions?

1 Answer
Feb 9, 2018

Answer:

#66# different ways

Explanation:

Because order doesn't matter in this problem, we use the combination formula.

We are picking #10# from a set of #12#, so #n = 12# and #r = 10#.

#color(white)("two")_nC_r = (n!)/((n - r)!r!) = (12!)/((12 - 10)!10!) = 66#

Hence, there are #66# different ways you can select the questions.

Hopefully this helps!