How many words, meaningful or meaningless, can be formed by shuffling the letters of the word INFORMATION?  Answers.
A) 11!  B) 11!/2!  C) 11!/(2!^3)  D) 11!/{(3!)(2!^3)}  E) 6!
The total number of ways in which a total N items, out of which p are identical of one type, q are identical of another type and rest are different, can be arranged in a line is N!/{p!q!}   In the given problem, we have 11 letters out of which 2 are I's (identical), 2 are N's (identical), 2 are F's (identical) and rest all are different.   Hence the number of words that can be formed is 11!/{2!2!2!}   Ans 11!/(2!^3)
<result>C</result>
How many words, meaningful or meaningless, can be formed by shuffling the letters of the word INFORMATION?