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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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) About Me  (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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
constant or consonant?