Math

posted by .

1.how many different permutations can you make with the letters in the word s e v e n t e e n ?

2.a teacher has a set of 12 probelms to use on a math exam. the teacher makes different versions of the exam by putting 10 questions on each exam. how many different exams can the teacher make?

3.how many arrangements of the letter o l i v e can you make if each arrangement must use three letters?

  • Math -

    1.
    SEVENTEEN = EEEE NN S T V
    So there is one group of 4 letters, one of 2 letters, and three of 1 letter for at total of 9 letters.
    The number of permutations is
    P(9,9)/(4!2!1!1!1!)
    =9!/(4!2!1!1!1!)

    2. Think of the two questions she can leave out. She has a choice of 12 for the first one, and 11 for the second. Thus she can make 12*11=132 different exams, if the order of the questions do not matter.
    If the order of the questions matters, then we choose the ten questions one after another, which gives
    12*11*10*9*8*7*6*5*4*3
    =12!/2!
    different exams.

    3. How many choices do you have for choosing the first of three letters? (5)
    How many for the second? (4)
    How many for the third? (3)
    How many arrangements in all?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH PLEASEEEEE

    A)If a license plate consists of 2 letters followed by 3 digits or 3 letters followed by 2 digits, how many license plates can be created?
  2. math

    Below is a set of at least two related math/science "words" with their letters combined and arranged in alphabetical order. When you successfully unscramble the letters into the component words, there will be can additional word that …
  3. math

    How many different arrangements of two letters can you make from the letters in the word problem, if no repetition of letters is allowed?
  4. math/algebra

    1. Which of the following inequality signs would make a true statement if it replaced the question mark in the following equation?
  5. HSPA Prep

    Marybeth is trying to remember her 4-letter password. All she remembers is that no two letters in her password are the same. How many different permutations are there if the combination of letters does not have to be an actual word?
  6. Math

    Find the probability that if the letters of the word "parallel" are randomly arranged that the L's will not be together. In class, I'm studying permutations and combinations. The solutions stated the no. of permutations where 3 L's …
  7. math permutations

    how many distinguishable permutations are there of the letters in the word effective
  8. math

    Determine the number of permutations of the letters of the word "EFFECTIVE"
  9. math: permutations

    How many different 4 letter arrangements can be formed from the letters in the word cards
  10. math: permutations

    How many different 4 letter arrangements can be formed from the letters in the word cards my answer: 120 arrangments

More Similar Questions