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How to solve math problems with permutation and combination?
Calculation formula of permutation and combination

Formula A, which represents all permutation numbers of m(m≤n) elements from n different elements, is called permutation numbers of m elements from n different elements, and is represented by symbol A(n, m).

A(n,n)=n! A(n,m)=n! (m-n)! ? 0! = 1

Formula C means that m(m≤n) elements are randomly selected from N different elements and combined together, which is called the combination of M elements from N different elements; The number of all combinations of m(m≤n) elements from n different elements is called the number of combinations of m elements from n different elements. Represented by the symbol C(n, m).

C(n,n)= 1? C(n,m)=A(n,m)÷m!

References:

Baidu encyclopedia-permutation and combination