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Of 19 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6 books can you​ take?

User Fausto
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Answer:

27,132

Explanation:

Since the order of the books isn't important, we'll use combinations.


_nC_r=(n!)/(r!(n-r)!)

where nCr is the number of combinations,

n is the population size,

and r is the sample size.

Here, n = 19 and r = 6.

₁₉C₆ = 19! / (6! (19−6)!)

₁₉C₆ = 19! / (6! × 13!)

₁₉C₆ = 27,132

User Sfletche
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