Question

We will say that a rearrangement of the letters of a word has no fixed letters if, when the rearrangement is placed directly below the word, no column has the same letter repeated.

For instance, H BRATA is a rearrangement with no fixed letters of BH ARAT. How many distinguishable rearrangements with no fixed letters does BHARAT have? (The two As are considered identical.)

Answer 1

Step-by-step explanation:

the answer is this question is Bharath

Answer 2

Given:

Word is BHARAT.

To Find:

Find number of arrangement of letter of word BHARAT.

Solution:

Here total number of letter of word BHARAT is six, which are :

A , A, B, H, R ,T

Then number of arrangement of word of these six letter are:

⇒6 ×5 ×4 ×3 ×2 ×1

Here we see that letter A comes in word BHARAT is two times.

So total number of arrangement of letter are:

$\mathbf{\dfrac{6\times 5\times 4\times 3\times 2\times 1}{2}}$

After solving, we get:

360

Means  total number of arrangement of letter of BHARAT is 360.