If the letters of the word SACHIN are arrange | vedclass

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

Question

(D) The letters of the word $SACHIN$ are $A, C, H, I, N, S$ in alphabetical order.To find the rank of $SACHIN$,we count the number of words starting w

Vedclass · Accepted Answer

$601$

Vedclass · Answer

(D) The letters of the word $SACHIN$ are $A, C, H, I, N, S$ in alphabetical order.To find the rank of $SACHIN$,we count the number of words starting with letters before $S$ in the alphabetical list.The letters before $S$ are $A, C, H, I, N$.Each of these letters,when placed in the first position,allows the remaining $5$ letters to be arranged in $5!$ ways.Number of words starting with $A, C, H, I, N = 5 	imes 5! = 5 	imes 120 = 600$.The next word in the dictionary order is $SACHIN$ itself.Therefore,the rank of $SACHIN$ is $600 + 1 = 601$.

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

Similar Questions

The number of integers,greater than $7000$,that can be formed using the digits $3, 5, 6, 7, 8$ without repetition is:

In how many ways can $8$ people stand in a line such that there are always exactly two people between two specific people $A$ and $B$?

The number of $3$ digit odd numbers that can be formed by using the digits $1, 2, 3, 4, 5, 6$ when the repetition of digits is allowed is:

How many numbers greater than $100$ and divisible by $5$ can be made from the digits $3, 4, 5, 6$,if no digit is repeated?

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module