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tiny-mole [99]
3 years ago
13

Brainliest + [20] Points!!!! Explain!

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:  165 combination can be possible.

Step-by-step explanation:

Here, According to the question,

Different types of machines in the weight room  in gym = 11

And, . Geoff has time to use only 3 of them this afternoon.

Therefore, total number of different combination of machine can geoff choose from to use

= 11_C_3

= \frac{11!}{3!\times (11-3)! }     ( because n_C_r = \frac{n!}{r!(n-r)!} )

= \frac{11!}{3!\times 8! }

= \frac{11\times 10\times 9\times 8!}{6\times 8! }

=\frac{11\times 10\times 9}{6}

= \frac{990}{6}

= 165


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