SOLUTION: 3.In how many ways can the letters in the word TEXAS be arranged if a.) All the letters are used b.) 2 are used at a time c.) 4 are used at a time

Question 1194338: 3.In how many ways can the letters in the word TEXAS be arranged if
a.) All the letters are used
b.) 2 are used at a time
c.) 4 are used at a time
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.


(a)  5! = 5*4*3*2*1 = 120 arrangements (permutations).


(b)  5*4 = 20 2-letter words, if 2 letters are used at a time.


(c)  5*4*3*2 = 120 4-letter words, if 4 letters are used at a time.

Solved.

-------------

Since the order is important, this problem is on PERMUTATIONS.

On Permutations, see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Special type permutations problems
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

RELATED QUESTIONS
How many ways can the letters of the word D O T be arranged if all 3 letters are used... (answered by stanbon)

In how many different ways can the letters in the word PAYMENT be arranged if the letters (answered by straight C+'s,jim_thompson5910)

how many permutations can be made from the letters in the word "MONDAY" if a). all... (answered by math_tutor2020)

in how many ways can the letters of the word TIMBERWOLVES be arranged using only 4... (answered by )

(a) How many different ways can 2 letters from the word SELECT be arranged? (b) How many (answered by ikleyn,math_tutor2020)

in how many ways can the letters of the word today be arranged using only 3 of the... (answered by Alan3354)

1) A shipment of 40 laptop computers containing 6 defective ones. The shipping department (answered by edjones)

In how many ways can the letters of the word "ECONOMICS" be arranged if the letters O and (answered by oscargut)

5. a) How many six-letter “words” can be formed from the letters in the word EUCLID (answered by ewatrrr)