Page 114 - Senior Math

Evaluate each of the following.
1) 10C3 2) 8C6
5) 6)
7)
8)
9)
3) 12C6 4) 7C7
In how many ways can a club with 13 members choose a four person governing council?
Each of the 200 students attending a school dance has a ticket for a door prize. If three tickets are selected, how many ways are there to award the prizes, given that the prizes are identical?
How many different ways are there to deal a hand of 5 cards from a standard deck of 52 cards if the order in which the cards are dealt is not important?
Eight people apply for 3 jobs.
a) In how many different ways can the positions be filled in the jobs are all different?
b) In how many different ways can the positions be filled in the jobs are all the same?
Consider the word LOGARITHM.
a) In how many ways can you choose 3 letters if the order is unimportant?
b) In how many ways can you choose 6 letters if the order is unimportant?
10) A hiker is going on a trip and would like to invite seven of his friends to go on a trip. a) If he only has room for four friends, in how many ways could they be chosen?
b) If he only has room for three friends, in how many ways could they be chosen?
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