How many different 55-letter words can be made a. if the first letter must be Upper K or Upper XK or X and no letter may be repeated? b. if repeats are allowed (but the first letter is Upper K or Upper XK or X)? c. How many of the 55-letter words (starting with Upper K or Upper XK or X) with no repeats end in Upper JJ?

(a) The number of 5-letter word that can be formed (without repetition) such that the first letter is K or X is 607,200.

(b) The number of 5-letter word that can be formed (with repetition) such that the first letter is K or X is 913,952.

(c) The number of 5-letter word that can be formed (without repetition) such that the first letter is K or X and the last is J is 24,288.

Explanation:

In this case we need to form a 5 letter word.

(a)

The condition applied is: 1st letter is K or X.

The word will of the form: K _ _ _ _ or X _ _ _ _

There are 2 ways to fill the first space, i.e. with either K or X.

Repetition is not allowed.

The remaining 4 spaces can be filled in (25 × 24 × 23 × 22) ways.

Then the total number of 5-letter word that can be formed (without repetition) such that the first letter is K or X is:

Number of 5-letter word = 2 × 25 × 24 × 23 × 22 = 607200

Thus, the number of 5-letter word that can be formed (without repetition) such that the first letter is K or X is 607,200.

(b)

In case the repetition are allowed the number of 5-letter word that can be formed (without repetition) such that the first letter is K or X is:

Number of 5-letter word = 2 × 26 × 26 × 26 × 26 = 913952

Thus, the number of 5-letter word that can be formed (with repetition) such that the first letter is K or X is 913,952.

(c)

The condition applied is: 1st letter is K or X and the last letter is J.

The word will of the form: K _ _ _ J or X _ _ _ J

There are 2 ways to fill the first space, i.e. with either K or X, and the last with J.

Repetition is not allowed.

The remaining 3 spaces can be filled in (24 × 23 × 22) ways.

Then the total number of 5-letter word that can be formed (without repetition) such that the first letter is K or X and the last is J is:

Number of 5-letter word = 2 × 24 × 23 × 22 = 24288

Thus, the number of 5-letter word that can be formed (without repetition) such that the first letter is K or X and the last is J is 24,288.

search it up on google or think from your brain make it work harder.

first of all, dante wanted to write an account of the search for spiritual atonement and salvation, and this desire drew heavily from dante's own experiences. dante was living in exile while writing inferno and so, much like his poetic counterpart, he felt like he had lost his way and needed direction.

explanation: