Question

51. The number of permutations of 4 letters from
the letters of word 'KOLKATA', is
(1) 144
(2) 270
(3) 354
(4) 436​

Answer 1

Answer:

may be 144 is correct.... if is it right... please thanks me

Answer 2

Given: the word KOLKATA.

To find: the number of permutations in 4 letters in KOLKATA.

Formula to be used:  $\frac{n!}{(n-r)!}$

Step-by-step explanation:

Step 1 of 1

In the word KOLKATA, there are 2 K's and 2 A's.

So there are a total of 4 unique letters in it.

SO, r=4

And there are total 7 letters, so n=7.

The formula of permutation is $\frac{n!}{(n-r)!}$

So, the permutations of 4 letters in KOLKATA are:

$^{n}P_{r} =\frac{n!}{(n-r)!}\\\\^{7}P_{4} =\frac{7!}{(7-4)!(2!*2!)}\\\\^{7}P_{4} =\frac{7!}{3!*4}\\\\^{7}P_{4} =\frac{7*6*5*4*3!}{3!*4}\\\\^{7}P_{4} =\frac{7*6*5*4}{4} \\\\^{7}P_{4} =210$

The number of permutations of 4 letters from the letters of word 'KOLKATA', is 210.