how many words can be formed using letter of UNIVERSITY using each letter at most once ?
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UNIVERSITY
letters are : E, I, N, R, S, T, U ,V, Y
There are 9 different letters.
We want to use each letter at most once.
Number of 1 letter words: 9P1 = 9
Number of 2 letter words: 9P2 = 9*8 = 72
Number of 3 letter words: 9P3 = 504
Number of 4 letter words: 9P4 = 3024
Number of 5 letter words: 9P5 = 15, 120
Number of 6 letter words : 9P6 = 45, 360
Number of 7 letter words : 9P7 = 9!/2 = 1, 81, 440
Number of 8 letter words: 9P8 = 9! = 3,62, 880
Number of 9 letter words: 9P9 = 9! = 3, 62, 880
we add all these values to get the answer.
letters are : E, I, N, R, S, T, U ,V, Y
There are 9 different letters.
We want to use each letter at most once.
Number of 1 letter words: 9P1 = 9
Number of 2 letter words: 9P2 = 9*8 = 72
Number of 3 letter words: 9P3 = 504
Number of 4 letter words: 9P4 = 3024
Number of 5 letter words: 9P5 = 15, 120
Number of 6 letter words : 9P6 = 45, 360
Number of 7 letter words : 9P7 = 9!/2 = 1, 81, 440
Number of 8 letter words: 9P8 = 9! = 3,62, 880
Number of 9 letter words: 9P9 = 9! = 3, 62, 880
we add all these values to get the answer.
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