专题十七-排列组合

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专题十七-排列组合 von Mind Map: 专题十七-排列组合

1. 组合

1.1. (n r)=n!/r!(n-r)!

1.2. (n 0)=1

1.3. (n 1)=n

1.4. n n)=1

1.5. (n r)=(n n-r)

2. 重复字母排列问题

2.1. AABBC has 5!/2!/2! ways

3. 乘法原理

3.1. For example, if there are 2 ways to get from A to B and three ways to get from B to C and two ways to get from C to D.

3.2. 2*3*2 is the ways of getting from A to D

4. 排列

4.1. p(n,r)=n!/(n-r)!

4.1.1. MATHC choose 3

4.1.2. p(5,3)=5!/(5-3)!

4.2. distinct objects can be permuted in n! permutations

5. 锁链法