SOLUTION: how many word can be formed by taking four letter at a time out of letter of the word MATHEMATICS i tried the method: c(11,4)/2!2!2! . . . but ans didnt match. . . . plz give s

Algebra ->  Permutations -> SOLUTION: how many word can be formed by taking four letter at a time out of letter of the word MATHEMATICS i tried the method: c(11,4)/2!2!2! . . . but ans didnt match. . . . plz give s      Log On


   



Question 936880: how many word can be formed by taking four letter at a time out of letter of the word MATHEMATICS
i tried the method: c(11,4)/2!2!2!
. . . but ans didnt match. . . .
plz give suitable explanation

Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
total no of letters in MATHEMATICS =11
no of A 's =2
no of M's = 2
no of T'S = 2
NO of words that can be formed = p%2811%2C4%29%2F%282%21%2A2%21%2A2%21%29
p(11,4) =+%2811%2A10%2A9%2A8%29%2F%284%2A3%2A2%2A1%29
=7920
2! = 2*1 = 2
Hence
NO of words that can be formed = p%2811%2C4%29%2F%282%21%2A2%21%2A2%21%29
=+%287920%29%2F%282%2A2%2A2%29
=990
Result: 990