| 1 | To teach counting rules |
| 2 | To teach the concepts of permutation, combination and Binomial coefficients |
| 3 | To solve distribution problems |
| 4 | To introduce Fibonacci and Lucas numbers |
| 5 | To explain Stirling numbers and applications |
| 6 | To solve problems using the pigeon cage principle |
| 7 | To introduce the rook polynomial and its applications |