(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 Permutations and Combinations 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

Permutations and Combinations

Subtopic

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

Previous Year

AP EAMCET 2024 Paper All AP EAMCET years →

The number of $4$-letter words, with or without meaning, which can be formed using the letters of '$PQRPQRSTUVP$',is:

DifficultJEE MAIN 2026

View Solution

Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also,find the number of elements of this sample space.

Easy

View Solution

How many $3$-digit even numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ if the digits can be repeated?

Easy

View Solution

If all the seven letters of the word $LEADING$ are permuted in all possible ways and the words thus formed are arranged as in the dictionary order,then the word in $2017^{\text{th}}$ place is

EasyAP EAMCET 2018

View Solution

The number of $4$ digit even numbers that can be formed using $0, 1, 2, 3, 4, 5, 6$ without repetition is

Easy

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

The number of $4$-letter words, with or without meaning, which can be formed using the letters of '$PQRPQRSTUVP$',is:

Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also,find the number of elements of this sample space.

How many $3$-digit even numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ if the digits can be repeated?

If all the seven letters of the word $LEADING$ are permuted in all possible ways and the words thus formed are arranged as in the dictionary order,then the word in $2017^{\text{th}}$ place is

The number of $4$ digit even numbers that can be formed using $0, 1, 2, 3, 4, 5, 6$ without repetition is

Vedclass Test Series

Exam Paper Generator

Online Exam Module