SOLUTION: An office consists of seven men and four women. For each of the following questions, show your calculations. a) How many ways can their manager choose a hiring committee of three

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Question 1014723: An office consists of seven men and four women. For each of the following questions, show your calculations.
a) How many ways can their manager choose a hiring committee of three staff from this office?

Answer by ikleyn(52778) About Me  (Show Source):
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An office consists of seven men and four women. For each of the following questions, show your calculations.
a) How many ways can their manager choose a hiring committee of three staff from this office?
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C%5B11%5D%5E3 = %2811%2A10%2A9%29%2F%281%2A2%2A3%29 = 11*5*3 = 165 ways.

The number of combinations of 11 (11= 7 + 4) objects taken 3 at a time.

See the lesson Introduction to Combinations in this site.