Permutation and Combination Worksheet
Grade 9 math worksheet covering fundamental concepts of permutations and combinations with various problem types.
Includes
Standards
Topics
Permutation and Combination
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In how many ways can 5 distinct books be arranged on a shelf?
5
25
120
625
2. How many different committees of 3 people can be formed from a group of 7 people?
21
35
210
840
3. A permutation is an arrangement of objects in a specific .
4. A combination is a selection of objects where the does not matter.
5. Explain the difference between a permutation and a combination.
6. A photographer wants to arrange 3 friends out of a group of 8 in a row for a picture. How many different arrangements are possible?
7. The number of permutations of n objects taken r at a time is given by the formula P(n,r) = n! / (n-r)!.
True
False
8. C(n,r) is always greater than or equal to P(n,r).
True
False
9. A class has 10 students. How many ways can a president, vice-president, and secretary be chosen?
10. From a deck of 52 cards, how many different 5-card hands can be dealt?