How many different arrangements of 7 letters can be formed if the first letter must be w or k? (repeats of letters are? allowed) ?

The concept that can be used in order to determine the number of ways to which we are able to arrange 7 letters with repetition except for the first letter can be solved using the fundamental principle of counting.

In the first position, we can only have 2 letters. These are 2 or k.

On the second position we can have 26 letters because that is the number of letters in a standard English. The same is true for the third, fourth, fifth, sixth, and seventh. The computation is shown below.

n = 2 x 26 x 26 x 26 x 26 x 26 x 26 = 23762752

Thus, the number of ways to which the letters can be arranged is approximately 23762752 ways.