Question

How many ways are there to choose 6 shirts out of 10 to take to camp?

a. 60
b. 126
c. 151,200
d. 210​

Answer 1

d.
`\displaystyle 210`

Step-by-step explanation:

The keywords how many ways, signal combinations, especially since order does not matter, so we use the combination formula:

`\displaystyle (n!)/([-r + n]!r!) =\: _nC_r \\ \\ (10!)/([-6 + 10]![6!]) = (3628800)/([4!][6!]) = (3628800)/([24][720]) = (3628800)/(17280) = 210`

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