A game involves choosing 4 numbers from the numbers 1 through 13. In how many ways can this be done?
A) 695
B) 715
C) 17,160
D) 723

Question

Quizplus · Accepted Answer

The number of ways to choose 4 numbers out of 13 is calculated using the combination formula, which is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, and k is the number of items to choose. Here, n=13 and k=4, so C(13, 4) = 13! / (4! * 9!) = (13*12*11*10) / (4*3*2*1) = 715.

A Game Involves Choosing 4 Numbers from the Numbers 1