Permutations and Combinations Worksheet
Find the number of possibilities (you must show the set up).
1. The ski club with ten members is to choose three officers captain, co-captain & secretary,
how many ways can those offices be filled?
1____________
2. The company Sea Esta has ten members on its board of directors. In how many different ways can it
elect a president, vice-president, secretary and treasurer?
2____________
3. For a segment of a radio show, a disc jockey (Dr. Jams) can play 4 songs. If there are 8 to select from,
in how many ways can the program for this segment be arranged?
3____________
4. Suppose you are asked to list, in order or preference, the three best movies you have seen this year. If
you saw 10 movies during the year, in how many ways can the three best be chosen and ranked?
4____________
5. In the Long Beach Air Race six planes are entered and there are no ties, in how many ways can the first
three finishers come in?
5____________
6. In a production of Grease, eight actors are considered for the male roles of Danny, Kenickie, and Marty.
In how many ways can the director cast the male roles?
6____________
7. Seven bands have volunteered to perform at a benefit concert, but there is only enough time for four of
the bands to play. How many lineups are possible?
7____________
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