Pure math, Amath問題

2009-12-04 6:20 am
Suppose 6 letters are drawn from 'ARRANGE'. How many possible arrangements can be made?

回答 (1)

2009-12-04 8:04 am
✔ 最佳答案
case 1 : Have not draw A : (then double R)

total : 6! / 2! = 360 arrangements

case 2 : Have not draw R : (then double A)

total : 6! / 2! = 360 arrangements

case 3 : Have not draw N or G or E : (then double A and double R)

total : 3 * [6! / (2!)(2!) ] = 540 arrangements

All cases TOTAL 360+360+540 =1260 arrangements.




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