Math, asked by brahma3613, 1 year ago

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

Answers

Answered by kvnmurty
2
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.
 

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ADduni: and answer mine also on monday the value of a company share was 7.50 rs the price increased by 6% on tuesday decreased by 1.5% on wednesday and decreased by 2% on thursday find the value of each share when trade opened on friday
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