Practice Permutation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A permutation is an ordered arrangement of objects — the number of ways to choose and order r items from n distinct items is P(n,r) = \frac{n!}{(n-r)!}.
With permutations, order matters — first place and second place are different. Think of ranking students: ABC and BAC are different orderings.
Example 1
easyIn how many ways can 3 students be arranged in a line from a group of 7?
Example 2
mediumHow many distinct arrangements of the letters in the word MISSISSIPPI are there?
Example 3
easyHow many 4-digit PIN codes can be formed using the digits \{1,2,3,4,5,6\} if no digit may be repeated?
Example 4
mediumA club of 8 students must choose a president, vice president, and secretary. In how many ways can the officers be chosen?