Question

A small company that manufactures juggling equipment makes 19 different types of clubs. The company wants...

A small company that manufactures juggling equipment makes 19 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 three clubs, each of a different type, how many different combinations of the company's clubs can he or she make? (no excel work)

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Answer #1

there are total 19 different types of clubs

If 3 clubs are juggled, this can be done in 19C3 ways

total possible combinations are 19C3 = 19!/((19 - 3)! * 3!)

= 19!/(16! * 3!)

= 19*18 *17/6

= 969

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