Calculating the number of 4 lettered words using the letters of the word KALAKAR

To calculate the number of 4 lettered words that can be made using the letters of the word KALAKAR, we need to follow the permutation formula.

Permutation Formula
Permutation formula is used to calculate the number of ways in which we can arrange n objects taken r at a time when the order of arrangement matters.

The formula for permutation is given by:

P(n,r) = n!/(n-r)!

Where,
n = total number of objects
r = number of objects taken at a time

In this case, we have a total of 7 letters in the word KALAKAR. We need to find out the number of 4 lettered words that can be made using these letters.

Calculating the number of 4 lettered words
To calculate the number of 4 lettered words that can be made using the letters of the word KALAKAR, we need to use the permutation formula.

P(n,r) = n!/(n-r)!

Here,
n = 7 (total number of letters in the word KALAKAR)
r = 4 (we need to find out the number of 4 lettered words)

P(7,4) = 7!/ (7-4)!

P(7,4) = 7! / 3!

P(7,4) = (7 x 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1)

P(7,4) = 840

Therefore, the number of 4 lettered words that can be made using the letters of the word KALAKAR is 840.