(C) The letters of the word $MASTER$ in alphabetical order are: $A, E, M, R, S, T$.To find the rank of $MASTER$,we count the words that come before it

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

(C) The letters of the word $MASTER$ in alphabetical order are: $A, E, M, R, S, T$.To find the rank of $MASTER$,we count the words that come before it in dictionary order:$1$. Words starting with $A$: $5! = 120$$2$. Words starting with $E$: $5! = 120$$3$. Words starting with $MA E...$: $3! = 6$$4$. Words starting with $MA R...$: $3! = 6$$5$. Words starting with $MA S E...$: $2! = 2$$6$. Words starting with $MA S R...$: $2! = 2$$7$. The next word is $MASTER$: $1$Total rank $= 120 + 120 + 6 + 6 + 2 + 2 + 1 = 257$.

Class 11 Mathematics Permutation and Combination Definition of permutation, Number of permutations with or without repetition, Conditional permutations

Medium

If all the letters of the word $MASTER$ are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order,then the rank of the word $MASTER$ is

AP EAMCET 2024 All AP EAMCET

A
$357$
B
$527$
C
$257$
D
$752$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Permutation and Combination

Subtopic

Definition of permutation, Number of permutations with or without repetition, Conditional permutations

Previous Year

AP EAMCET 2024 Paper All AP EAMCET years →

In how many ways can the letters of the word $MULTIPLE$ be arranged keeping the position of the vowels fixed?

EasyAP EAMCET 2022

View Solution

$S_1, S_2, \ldots, S_{10}$ are the speakers in a conference. If $S_1$ addresses only after $S_2$,then the number of ways the speakers address is

MediumTS EAMCET 2004

View Solution

How many arrangements can be made with $5$ boys and $5$ girls in a row such that boys and girls alternate?

Medium

View Solution

How many numbers lying between $999$ and $10000$ can be formed with the help of the digits $0, 2, 3, 6, 7, 8$ when the digits are not to be repeated?

Easy

View Solution

There are $10$ distinct letters of the English alphabet. Words of $5$ letters are formed using these letters. How many such words can be formed if at least one letter is repeated?

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

If all the letters of the word $MASTER$ are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order,then the rank of the word $MASTER$ is

Similar Questions

In how many ways can the letters of the word $MULTIPLE$ be arranged keeping the position of the vowels fixed?

$S_1, S_2, \ldots, S_{10}$ are the speakers in a conference. If $S_1$ addresses only after $S_2$,then the number of ways the speakers address is

How many arrangements can be made with $5$ boys and $5$ girls in a row such that boys and girls alternate?

How many numbers lying between $999$ and $10000$ can be formed with the help of the digits $0, 2, 3, 6, 7, 8$ when the digits are not to be repeated?

There are $10$ distinct letters of the English alphabet. Words of $5$ letters are formed using these letters. How many such words can be formed if at least one letter is repeated?

Vedclass Test Series

Exam Paper Generator

Online Exam Module