Question

1) From a group of graduate students including 25 men and 22 women, 37 are chosen to participate in a presentation. What is the probability that exactly 19 men and 18 women are chosen?

1) (25/19)(22/18) / (47/37)

2) (25!)(22!) / (47/37)

3) (26/19)(22/18) / 37!

4) (47/19)(47/18) / (47/37)

5) (19!)(18!) / 37!

2)

A dinner party is being organized with the option of 7 dinner choices to serve at the venue. Since catering is expensive, the host asks everyone attending to rank each dish. The top ranked dish will be served at the venue. What is the probability that your favorite dish is the chosen dish served at the venue?

• Write your answer as an exact fraction which is reduced as much as possible.

Answer 1

First option is correct...

men 25

women 22

total selection:37

Probability of selecting 19 men and 18women..

=25C19*22C18 / 47C37