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How many words can be formed using letter of UNIVERSITY using each at most once

1) if each letter must be used
2) if some or all the letter may be omitted
can u give explanation for 2nd question??


1.if each letter must be used,the no. of letters are 10.
 no of permutations=10!/2!
2! is given because in that word i is repeated 2 times
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