| n | = | 1 30 | r | = | 0 30 |
| [Permutation] | ||||||
| \(n !\) | = | \(r !\) = | ||||
| \({}_n {P}_{r}\) | = | (Non-replacement) | \(r \le n\) | |||
| \({}_n {Π}_{r}\) | = | (Replacement) |
| [Combination] | ||||||
| \({}_n {C}_{r}\) | = | (Non-replacement) | \( r \le n\) | |||
| \({}_n {H}_{r}\) | = | (Replacement) | \({}_{n+r-1} C_{r} \) | |||
| [Permutation with the same thing] | ||||||||||||||||||||
| n | = | \(= p + q + r + s\) | p | = | q | = | r | = | s | = | ||||||||||
| \(\frac{n!}{p!\, q! \, r! \, s!}\) | = |