The number of four-letter words that can be f | vedclass

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

Question

(b)

Out of given three letters $a, b, c$, we will repeat exactly one of the letter and we can do this in ${ }^3 C_1$ ways.

Now, we have four let

Vedclass · Accepted Answer

$36$

Vedclass · Answer

(b)

Out of given three letters $a, b, c$, we will repeat exactly one of the letter and we can do this in ${ }^3 C_1$ ways.

Now, we have four letters and out of these four letters two are identical, so number of ways to arrange these four letters is $\frac{4 !}{2 !}$.

So, the number of four letter words that can be formed with letters $a, b, c$ such that all three letters occur is

${ }^3 C_1 	imes \frac{4 !}{2 !}=36$

The number of four-letter words that can be formed with letters $a, b, c$ such that all three letters occur is

Similar Questions

$^{20}C_1 + 3 ^{20}C_2 + 3 ^{20}C_3 + ^{20}C_4$ is equal to-

There are $3$ sections in a question paper and each section contains $5$ questions. A candidate has to answer a total of $5$ questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is

The solution set of $^{10}{C_{x - 1}} > 2\;.{\;^{10}}{C_x}$ is

The number of four letter words that can be formed using the letters of the word $BARRACK$ is

The value of ${}^{50}{C_4} + \sum\limits_{r = 1}^6 {^{56 - r}{C_3}} $ is