How many different words can be formed with t | vedclass

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

Question

(B) The word '$BHARAT$' contains $6$ letters,where the letter '$A$' repeats $2$ times.Total number of permutations $= \frac{6!}{2!} = \frac{720}{2} =

Vedclass · Accepted Answer

$360, 240$

Vedclass · Answer

(B) The word '$BHARAT$' contains $6$ letters,where the letter '$A$' repeats $2$ times.Total number of permutations $= \frac{6!}{2!} = \frac{720}{2} = 360$.To find the number of words where '$B$' and '$H$' are never together,we subtract the number of words where '$B$' and '$H$' are together from the total number of words.Treating '$BH$' as a single unit,we have $5$ units: ${BH}, A, R, A, T$. Since '$A$' repeats $2$ times,the number of arrangements where '$B$' and '$H$' are together is $\frac{5!}{2!} 	imes 2! = 120 	imes 1 = 120$.Therefore,the number of words where '$B$' and '$H$' are never together $= 360 - 120 = 240$.

How many different words can be formed with the letters of the word '$BHARAT$'? In how many of these are $B$ and $H$ never together?

Similar Questions

How many lines can be drawn through $21$ points on a circle?

In how many ways can a cricket team of $11$ players be selected out of $16$ players,if $2$ particular players are always to be included?

The principal wants to arrange $5$ students on the platform such that the boy $SUNIL$ occupies the second position and such that the girl $GITA$ is always adjacent to the girl $NITA$. How many such arrangements are possible?

The total number of ways of selecting six coins out of $20$ one-rupee coins,$10$ fifty-paise coins,and $7$ twenty-five-paise coins is:

In how many ways can $n$ books be arranged in a row so that two specified books are not together?

Vedclass Test Series

Exam Paper Generator

Online Exam Module