If all the letters of the word REPEAT are per | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The letters of the word $REPEAT$ are $\{A, E, E, P, R, T\}$.Arranging these letters in alphabetical order,we get: $A, E, E, P, R, T$.$1$. Words st

Vedclass · Accepted Answer

$267$

Vedclass · Answer

(B) The letters of the word $REPEAT$ are $\{A, E, E, P, R, T\}$.Arranging these letters in alphabetical order,we get: $A, E, E, P, R, T$.$1$. Words starting with $A$: $\frac{5!}{2!} = 60$.$2$. Words starting with $E$: $5! = 120$.$3$. Words starting with $P$: $\frac{5!}{2!} = 60$.$4$. Words starting with $RA$: $\frac{4!}{2!} = 12$.$5$. Words starting with $REA$: $3! = 6$.$6$. Words starting with $REE$: $3! = 6$.$7$. Words starting with $REPA$: $2! = 2$.$8$. The next word is $REPEAT$: $1$.Summing these up: $60 + 120 + 60 + 12 + 6 + 6 + 2 + 1 = 267$.Thus,the rank of the word $REPEAT$ is $267$.

If all the letters of the word $REPEAT$ are permuted in all possible ways and if the six-letter permutations thus formed are arranged in the dictionary order,then the rank of the word $REPEAT$ is:

Similar Questions

Numbers greater than $1000$ but not greater than $4000$ which can be formed with the digits $0, 1, 2, 3, 4$ (repetition of digits is allowed),are

How many words,with or without meaning,can be formed using the letters of the word $MONDAY$,assuming that no letter is repeated,if $4$ letters are used at a time?

All the letters of the word $MOTHER$ are arranged in all possible ways and the resulting words (may or may not have meaning) are arranged as in the dictionary. The number of words that appear after the word $MOTHER$ is

If all the digits in the number $53426$ are permuted in all possible ways and are arranged in decreasing order,then the number having rank $89$ is:

If the letters of the word $RACHIT$ are arranged in all possible ways and these words are listed in dictionary order,what is the rank of the word $RACHIT$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module