SOLUTION: In how many ways can the letters of the word WINNIPEG be arranged if the letters W, P, and G must remain in the same order they appear in the word?
I have arranged 8 spots for t
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-> SOLUTION: In how many ways can the letters of the word WINNIPEG be arranged if the letters W, P, and G must remain in the same order they appear in the word?
I have arranged 8 spots for t
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Question 1096803: In how many ways can the letters of the word WINNIPEG be arranged if the letters W, P, and G must remain in the same order they appear in the word?
I have arranged 8 spots for the letters and placed W, P, and G in their spots. There are only 5 spots left now, where do I go from here?
Thanks Answer by ikleyn(52768) (Show Source):
The word contains 8 letters.
Of them, "I" is repeated twice;
"N" is repeated twice also.
The number of distinguishable arrangements is = 1680.
First 2! in the denominator accounts for the repeated "I".
Second 2! in the denominator accounts for the repeated "N".
6 in the denominator account for the fact that of 6 possible permutations of three letters W, P and G only one arrangement is allowed.
