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Permutations and Combinations Practice Worksheet

Evaluate factorials (n!), permutations nPr (order matters), and combinations nCr (order does not matter). 10 combinatorics exercises.

Statistics & Probability Medium / Intermediate High School (Grades 9–12) 10 Problems
Name:
Date:
Class:
Score: ______ / 10
1)
Evaluate 5! (5 Factorial):
2)
Evaluate 4! (4 Factorial):
3)
Evaluate permutation 5P2:
4)
Evaluate permutation 6P3:
5)
Evaluate combination 5C2:
6)
Evaluate combination 6C3:
7)
Evaluate 3! (3 Factorial):
8)
Evaluate permutation 4P2:
9)
Evaluate combination 4C2:
10)
Evaluate combination 7C2:

Answer Key & Solutions

Permutations and Combinations Practice Worksheet
#1: 120
5! = 5 × 4 × 3 × 2 × 1 = 120.
#2: 24
4! = 4 × 3 × 2 × 1 = 24.
#3: 20
5P2 = 5! / (5-2)! = 5 × 4 = 20.
#4: 120
6P3 = 6 × 5 × 4 = 120.
#5: 10
5C2 = 5P2 / 2! = 20 / 2 = 10.
#6: 20
6C3 = (6 × 5 × 4) / (3 × 2 × 1) = 120 / 6 = 20.
#7: 6
3! = 3 × 2 × 1 = 6.
#8: 12
4P2 = 4! / (4 - 2)! = 4 × 3 = 12.
#9: 6
4C2 = 4! / (2! × 2!) = (4 × 3) / (2 × 1) = 12 / 2 = 6.
#10: 21
7C2 = (7 × 6) / (2 × 1) = 42 / 2 = 21.