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How many distinct permutations of the characters in error

Question: A hostess wishes to invite 6 dinner guests from a list of 14 friends

How many distinct permutations of the characters in ERROR are there? (Remember that the various R's cannot be distinguished from one another.)

How many distinct permutations of the characters in LOLLAPALOOZA are there?

a. How many distinct permutations of the characters in the word HAWAIIAN are there?

b. How many of the permutations begin with H?

c. How many distinct permutations of the characters in the word APALACHICOLA are there?

d. How many of the permutations have both L's together?

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Mathematics: How many distinct permutations of the characters in error

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