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How many permutations can be formed from the letters in the word BOOKKEEPING

0 votes

using only 5 letters? 

 

 

asked Jul 10, 2014 in ALGEBRA 2 by anonymous

1 Answer

0 votes

Number of letters in the word BOOKKEEPING = 11.

There are three doubles and 5 singles.

We can take 3 cases to use 5 letters.

Case-1 Taking 2 doubles and 1 other.

Number of permutaions formed by 2doubles and 1 other image

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Case-2 Taking 1 double and 3 others.

Number of permutaions formed by 1double and 3 others image

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Case-3 Taking 5 others.

Number of permutaions formed by 5 distinct letters image

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Total number of perputations formed by using 5 letters of the word BOOKKEEPING is 540 + 6300 + 6720 = 13560.

answered Jul 11, 2014 by joly Scholar
edited Jul 11, 2014 by joly

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