1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bearhunter [10]
3 years ago
14

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

peated? 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​?
English
1 answer:
Vika [28.1K]3 years ago
3 0

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.

You might be interested in
For which audience is the following sentence most appropriate?
Misha Larkins [42]
I belive the answer is C.) Drama class because drama involves the wonderful romeo and Juliet story
3 0
2 years ago
Read 2 more answers
4. Which of the following statements is an arguable claim?
max2010maxim [7]

Answer:

a

Explanation:

fresh, clean water shed be available to anybody who needs it homeless or not some people are poor some are homeless and some just need help

4 0
3 years ago
Read 2 more answers
Explain how The Crucible is a social commentary of Miller and Smith’s time
SIZIF [17.4K]
They are comparable to their time because The Salem Witch Trials compared to the Red Scare in which People hunted down suspected communists, as in the Salem Witch trials, people hunted down suspected witches.
6 0
3 years ago
Suffixes -ful, -less, -ness, -ment
Arlecino [84]

Answer:

don't you have question 1?

2)COLOURFUL

3)MOVEMENT

5)PEACEFUL

7)LIFELESS

5 0
3 years ago
Explain how du hais mother is being humiliated here in red scarf girl
svetlana [45]

Ji-Li's aunt- humiliated by Red Guards because she refused to let children pick her mulberry leaves. Aunt Xi-Wen had to paste a da-zi-bao to her front door saying terrible things about her.

6 0
2 years ago
Other questions:
  • Can someone​ give me a short sentence​ with the word DISABILITIES​ <br><br>PLEASE!!!!!
    14·2 answers
  • What is “Media Res”? What kind of statement is i mostly used on?
    11·1 answer
  • Which of these sentences contains a SUMMARY? A) While he acknowledged that the inserts supported his arches, he felt slight pain
    13·2 answers
  • Summarize the argument made in the Declaration of Independence. (Identify the document’s stated purpose, and list its main reaso
    13·1 answer
  • Chapter 1 summary of killer of enimies
    8·1 answer
  • How should you evaluate an argument?
    14·2 answers
  • Brainest for best response! What do you think the poem is about?
    7·2 answers
  • What does the word pneumonoultramicroscopicsilicovolcanoconiosis
    12·1 answer
  • Part E Choose one character from the story. In a 50-word paragraph, explain how looking closely at the author's use of character
    13·2 answers
  • 50 POINTS PLEASE HELP UKNOWN LINKS WILL BE REPORTED
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!