A soap company will give away a million dollars to everyone who guesses the order into which they have arranged the letters of the word SUPERCLEANER. Each entry must be in a separate envelope. How much would it cost you in postage to submit all possible entries?

Question

A soap company will give away a million dollars to everyone who guesses the order into which they have arranged the letters of the word SUPERCLEANER.  Each entry must be in a separate envelope.  How much would it cost you in postage to submit all possible entries?

Reiny · Answer

SUPERCLEANER 12 letters including 3E's and 2R's Number of ways to arrange them = 12!/(2!3!) = 39916800 Multiply that by the postage per letter in your country, which I don't know.

kitkat · Answer

Yes I did 39916800X0.57 which is our postage per letter

lii · Answer

In a particular business, everyone has a three-letter designation after their name in which the letters are not repeated. What is the smallest number of people employed by the business if there must be at least two people with the same three-letter designation?