(C) The letters of the word $SACHIN$ are $A, C, H, I, N, S$ in alphabetical order.Words starting with $A$: $5! = 120$ words.Words starting with $C$: $

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

(C) The letters of the word $SACHIN$ are $A, C, H, I, N, S$ in alphabetical order.Words starting with $A$: $5! = 120$ words.Words starting with $C$: $5! = 120$ words.Words starting with $H$: $5! = 120$ words.Words starting with $I$: $5! = 120$ words.Words starting with $N$: $5! = 120$ words.Total words before words starting with $S$ are $5 \times 120 = 600$.The next word in the dictionary is the first word starting with $S$,which is $SACHIN$.Therefore,the serial number of $SACHIN$ is $600 + 1 = 601$.

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

Medium

If the letters of the word $SACHIN$ are arranged in all possible ways and these words are written out as in a dictionary,then the word $SACHIN$ appears at serial number:

AIEEE 2005 All AIEEE

A
$603$
B
$602$
C
$601$
D
$600$

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

AIEEE 2005 Paper All AIEEE years →

How many words can be formed using the letters of the word $SCHOLAR$ that start with $A$ and end with $S$?

Easy

View Solution

The number of ways to form a $7$-digit number using the digits $1, 2, 3, 4, 3, 2, 1$ such that odd digits always occupy odd places is:

MediumMHT CET 2021

View Solution

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

Given $5$ flags of different colours,how many different signals can be generated if each signal requires the use of $2$ flags,one below the other?

Easy

View Solution

The number of words that can be formed by using the letters of the word $CALCULATE$ such that each word starts and ends with a consonant,are

MediumMHT CET 2023

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 the letters of the word $SACHIN$ are arranged in all possible ways and these words are written out as in a dictionary,then the word $SACHIN$ appears at serial number:

Similar Questions

How many words can be formed using the letters of the word $SCHOLAR$ that start with $A$ and end with $S$?

The number of ways to form a $7$-digit number using the digits $1, 2, 3, 4, 3, 2, 1$ such that odd digits always occupy odd places is:

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

Given $5$ flags of different colours,how many different signals can be generated if each signal requires the use of $2$ flags,one below the other?

The number of words that can be formed by using the letters of the word $CALCULATE$ such that each word starts and ends with a consonant,are

Vedclass Test Series

Exam Paper Generator

Online Exam Module