Question
How many words can be formed using the letters of “EXCEPTIONAL”, using each letter at most
once?
i) If each letter must be used,
ii) If some or all the letters may be omitted.
Answer :
Word Count : 234
________ __________ ___ _________ _____ ________ ________ ___ _______ ________.
________ ___ ______ ______ ____ ___ ____ ______ ____ ____ _______.
___ ____ ________ ______ ______ ______ ____ _________ _______.
____ _________ ______ ________ ____ ______ ________.
________ ___ ___ _________ ___ ____.
_____ ______ __________ ____ _______ _____ ______ ______ ______ _________ ____.
______ ______ ________ ________ ______ ________ ________ _______ __________ _________.
______ ____ ________ ____ _______.
______ _______ _________ ___ ___ ____ ____.
______ _______ ____ ________ ___ ________ __________ ___ ________ _____ ________.
______ ____ _____ _______ ___ _____ ______ _________ ______ ____ ____.
__________ _________ _______ _______ ___ ____ _____ __________ _____ ________.
__________ _______ ___ ____ _________.
___ __________ ___ ____ ____ _____ __________ ___ ________ _______ _______ ___.
_________ ___ _______ _______ ________ _____ _____ ________ ________ _______ _________ _________.
__________ ___ _________ ________ _________.
Skip in 10
The word “EXCEPTIONAL” consists of 11 letters in total, out of which the letter E is repeated twice and the remaining 9 letters are all distinct. When each letter must be used exactly once, the total number of different words that can be formed is obtained by finding the number of distinct permutations of these 11 letters. Since the letter E appears twice, the total number of words is ( \frac{11!}{2!} = 19,958,400 ). When some or all of the
________ _________ _____ __________ _______ ___ ____ __________ ____ ________ ____ ______.________ __________ ___ _________ _____ ________ ________ ___ _______ ________.
________ ___ ______ ______ ____ ___ ____ ______ ____ ____ _______.
___ ____ ________ ______ ______ ______ ____ _________ _______.
____ _________ ______ ________ ____ ______ ________.
________ ___ ___ _________ ___ ____.
_____ ______ __________ ____ _______ _____ ______ ______ ______ _________ ____.
______ ______ ________ ________ ______ ________ ________ _______ __________ _________.
______ ____ ________ ____ _______.
______ _______ _________ ___ ___ ____ ____.
______ _______ ____ ________ ___ ________ __________ ___ ________ _____ ________.
______ ____ _____ _______ ___ _____ ______ _________ ______ ____ ____.
__________ _________ _______ _______ ___ ____ _____ __________ _____ ________.
__________ _______ ___ ____ _________.
___ __________ ___ ____ ____ _____ __________ ___ ________ _______ _______ ___.
_________ ___ _______ _______ ________ _____ _____ ________ ________ _______ _________ _________.
__________ ___ _________ ________ _________.
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