SOLUTION: Hi how do you do questions like this: how many ways can the letters in the word TRADE be arranged if the first and last letters have to be a constant. Thanks

Question 1112309: Hi how do you do questions like this: how many ways can the letters in the word TRADE be arranged if the first and last letters have to be a constant.
Thanks
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Would you like to ask

. . . if the first and last letters remain to be fixed in their original positions" ?

If so, then the answer is 3! = 3*2*1 = 6,

because only three letters R, A and D are subjects of permutations.

------------------
On Combinations and Permutations see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Arranging elements of sets containing indistinguishable elements
    - Persons sitting around a cicular table
    - Combinatoric problems for entities other than permutations and combinations
    - OVERVIEW of lessons on Permutations and Combinations
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.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
constant or consonant?

RELATED QUESTIONS
How do you do questions involving permuations where two things are arranged in... (answered by KMST)
Do you know how many ways the letters in the word WINTER be arranged?... (answered by stanbon)
In how many ways can the letters of CIRCLE be arranged if the first and last must be... (answered by )
How many ways can the letters in the word smile be arranged if the first letter must be a (answered by Edwin McCravy)
how many ways can there the letters in the word capitol be arranged if the first letter... (answered by ewatrrr)
How many ways can the letters of the word “MOTIVATION” be arranged such that the... (answered by math_helper)
In how many distinguishable ways can the letters in the word STATISTICS be arranged?... (answered by ikleyn)
How many distinct ways can the letters in the word ITEMS be arranged? How many distinct (answered by addingup)
Please help. Completely lost... In how many ways can the letters in the word... (answered by jim_thompson5910)