If the letters of the word MATHEMATICAL are mixed up and then randomly arranged to display...
If the letters of the word MATHEMATICAL are mixed up and then randomly arranged to display a string of 12 letters, what is the probability that they will still spell MATHEMATICAL? (Assume that no letters have been turned upside down.)
Homework Answers
here total 2 M ; 3A ; 2 T ; 1 H ; 1 E ; 1 I ; 1 C and 1 L in total 12 letters of MATHEMATICAL
total number of ways to arrange them =12!/(2!*3!*2!*1!*1!*1!*1!*1!)=19958400
as MATHEMATICAL is one of 19958400 arrangements
hence probability that they will still spell MATHEMATICAL =1/19958400
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