Ten different letters of an alphabet are give | vedclass

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

Question

(A) Total number of words of $5$ letters that can be formed using $10$ different letters (where repetition is allowed) is $10^5 = 100000$.The number o

Vedclass · Accepted Answer

$69760$

Vedclass · Answer

(A) Total number of words of $5$ letters that can be formed using $10$ different letters (where repetition is allowed) is $10^5 = 100000$.The number of words in which no letter is repeated is given by the permutation formula $^{10}P_5 = 10 	imes 9 	imes 8 	imes 7 	imes 6 = 30240$.The number of words with at least one letter repeated is the total number of words minus the number of words with no repetition.Required number of words $= 100000 - 30240 = 69760$.

Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is

Similar Questions

If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman,then the number of seating arrangements is

How many permutations can be made by using all the letters of the word $MATHEMAGICA$?

All possible two-factor products are formed from the numbers $1, 2, 3, 4, \dots, 200$. The number of products out of the total obtained which are multiples of $5$ is:

The number of ways of dividing $52$ cards among four players equally is:

$A$ code word is to consist of $2$ English alphabets followed by $2$ distinct numbers between $1$ and $9$. For example,$CA23$ is a code word. How many such code words are there?

Vedclass Test Series

Exam Paper Generator

Online Exam Module