Question

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

Answer 1

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 $n_C_r = \frac{n!}{r!(n-r)!}$ )

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

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

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

= $\frac{990}{6}$

= $165$