Math

I am in 6th grade but to me, that doesn't matter because I have high hopes for myself. My question is; How many distinct letter arrangements can be made from the word LETTER with each T on each side?

(A) 6
(B) 12
(C) 24
(D) 120
(E) 720

I think it is 24 because if an example to one of the orders is TLEERT it would be 1x4x3x2x1x1 because the Ts are fixed so the 1s make sense and there is 4 letters left as an combination so would it be 4!.

Please answer

asked by Tom
  1. you want permutations of LEER, which is

    4!/2! = 24/2 = 12

    You have to divide by 2! because the two E's are indistinguishable.

    LE1E2R looks just like LE2E1R

    Since there are 2! ways to shuffle the E's, you need to divide the total by 2!. Read up on permutations with duplicates.

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. 11th grade

    The students of litchfield High school are in grades 9,10,11,12. Of the students , 1/4th are in 9th grade, 1/3rd are in 10th grade, 1/6th is in 11th grade and there are 300 in the 12th grade, how many students are there all
  2. Math

    At Jefferson School, both 6th grade & 7th grade classes take a math test. The average score for the 6th grade is 80 and for the 7th grade is 90. If there are twice as many students, in the 7th grade as there is in the 6th grade,
  3. Reading

    Dear Ms. Sue, No matter how hard I try, nobody knows a 6th grade definition for the word "Panning". Can you please help?
  4. Science

    I’m really confused on the Lesson 10: Structures and Properties of Matter Unit Test for 6th grade. Can anyone explain it to me?
  5. Poetry Grade 9

    A rhyming poem can be "abcb" right? and it doesn't matter about syllables?
  6. Science 6th grade

    What is the best way to tell a chemical change has taken place? 1. The matter changes color 2. The mixture separates into layers 3. The composition chnages
  7. English

    Hello :) I am teaching English as a foreign language on Friday ( 1st grade of high school, 6th year of learning English) My topic is 23rd century. Ls are listening to 3 different tasks.At the end will be a little discussion on
  8. english

    - Computers - English - Foreign Languages - Health - Home Economics - Math - Music - Physical Education - Science - Social Studies GRADE LEVELS - Preschool - Kindergarten - Elementary School - 1st Grade - 2nd Grade - 3rd Grade -
  9. 6th grade

    Do you have online readings and questions for my son, who is in 6th grade? I see lesson plans, but I don't see the information to give out. Please let me know about this, thank you.
  10. 6th grade Reading

    Worksheet for An Ant's Life and The Best School Year Ever Vocabulary im in 6th grade

More Similar Questions