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Earn +20 ptsQ: How many arrangements of the letters in the word SCHOOLS are there?
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How many different arrangements of the letters in the word number can be made?
6! = 6x5x4x3x2x1 = 720 arrangements
How many different arrangements can be made from letters of the word orange?
6! =720
How many different arrangements can be made using all the letters in the word TOPIC?
120.
How many distinct arrangements can be made with the letters in the word BOXING?
The number of distinct arrangements of the letters of the word BOXING is the same as the number of permutations of 6 things taken 6 at a time. This is 6 factorial, which is 720. Since there are no duplicated letters in the word, there is no need to divide by any factor.
How many distinct arrangements can be made with the letters in the word surprising?
Take note of the word "surprising":There are 10 letters total.There are 2 r's.There are 2 i'sThere are 2 s's.There are 10! total ways to arrange the letters. Since repetition is not allowed for the arrangements, we need to divide the total number of arrangements by 2!2!2! Therefore, you should get 10!/(2!2!2!) distinct arrangements
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