A small company that manufactures juggling equipment makes seven different types of clubs. The company wants to start an ad campaign that emphasizes the myriad combinations the avid juggler can create with the company's clubs. If a juggler wishes to juggle four clubs, each of a different type, how many different combinations of the company's clubs can he or she make?
A) 7
B) 28
C) 35
D) 210

Question

Quizplus · Accepted Answer

The number of combinations can be calculated using the combination formula, which is nCr = n! / [r!(n-r)!], where n is the total number of items, and r is the number of items to choose. Here, n=7 (seven types of clubs) and r=4 (wants to juggle four clubs), so the calculation is 7C4 = 7! / [4!(7-4)!] = 7! / (4!3!) = (7*6*5) / (3*2*1) = 35.

A Small Company That Manufactures Juggling Equipment Makes Seven Different