Solve the problem.
-A game involves choosing 6 numbers from the numbers 1 through 13. In how many ways can this be done?
A) 1716
B) 1724
C) 1,235,520
D) 1696

Question

Quizplus · Accepted Answer

This problem involves calculating combinations, as the order in which the numbers are chosen does not matter. The formula for combinations is C(n, r) = n! / [r!(n - r)!], where n is the total number of items to choose from, r is the number of items to choose, and "!" denotes factorial, the product of all positive integers up to that number. Here, n = 13 and r = 6, so the calculation is C(13, 6) = 13! / [6!(13 - 6)!] = 13! / (6!7!) = (13×12×11×10×9×8) / (6×5×4×3×2×1) = 1716.

Solve the Problem. -A Game Involves Choosing 6 Numbers from the Numbers 1