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 | = |
\(\frac{n!}{p!\, q! \, r! \, s!}\) | = |