Applications of Permutations and Combinations

Permutations and combinations have many practical applications in probability, statistics, and real-world problems.

Selection Problems

Example: Forming a Committee

Arrangement Problems

Example: Arranging with Restrictions

Selection with Conditions

Example: Dividing Objects

Letter Arrangements

Example: Word Arrangements

Practice Problems

1. How many 5-digit numbers can be formed from 1, 2, 3, 4, 5 without repetition and divisible by 4?
2. A team of 6 is to be selected from 5 men and 4 women. How many ways if the team must have more men than women?
3. Find the number of ways to arrange the letters of the word SUCCESS.
4. How many ways can 8 identical toys be distributed among 3 children?