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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 re

Vika [28.1K]

Answer:

(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.

3 0

3 years ago

To Kill A Mockingbird questions:

anyanavicka [17]

Answer:

44. Who is Uncle Jack? What lesson does he learn?

Explanation:

Scout teaches Uncle Jack to listen to both sides before punishing a child, and Atticus adds that you should tell a child the truth when he or she asks a question. When Scout gets into a fight with her cousin Francis, Uncle Jack spanks her.

5 0

2 years ago

Which of these best describes Mrs. Wright in "A Jury of Her Peers?"

9966 [12]

The correct answer for this would be option D. The statement that would best describe Mrs. Wright in "A Jury of Her Peers" is that, she used to wear pretty clothes and be lively. "<span>A Jury of Her Peers", written in 1917, is a short story by Susan Glaspell. Hope this is the answer that you are looking for. Have a great day!</span>

5 0

3 years ago

Read 2 more answers

A tibetan mork just taken a vow of silence and he goes anout his day deep in meditation.he is still communicating with those aro

NemiM [27]

I do belive the answer is so in fact B

7 0

2 years ago

Read 2 more answers

Write a one page essay explaining how the electoral college works and also explains whether or not you believe the Electoral col

GalinKa [24]

Explanation:

The electoral college can be understood as a group of people chosen to represent voters and appoint the president and vice president every four years.

Therefore, each State has a number of delegates corresponding to and proportionate to its population and to the deputies and senators of that State, and so each delegate is represented by one vote and each candidate needs to obtain a number corresponding to 270 or more to be elected.

This system was created in conjunction with the American constitution and had the central objective of allowing greater control over voting due to the precarious communication at the time, and there is also a predilection for the electoral college by smaller states, which feel more represented in the use of this system.

However, there is still a very long delay in the counting of votes and perhaps this system may not reflect the will of the majority of the population, since even if a candidate has a greater number of total votes, he cannot win the contest if he does not win in the delegates.

It is interesting that there is a restructuring of this American electoral system, duly voted by the population to choose whether direct voting would be a faster and more democratic option.

An idea of modernization would be the adoption of a voting system by electronic ballot boxes, with high anti-fraud protection and greater speed and security in the counting of votes and results.

5 0

3 years ago