Algebra 2

How many arrangements are possible using the letters in the word FUZZY if each letter "Z" is distinctly different than the other? How many arrangements are possible if the letter "Z" is interchangeabe with the other? Explain your reasoning.

asked by Joan
  1. You use a factorial (!) with the number of articles given. A factorial is a product of an integer and all integers below it.

    5 Factorial
    5! = ___ combinations

    posted by Irving
  2. (a)
    "Z" is distinctly different than the other: I think that means you have to count both of them, as if they're different letters.
    There are five letters in total. Therefore,
    5! = 120 ways

    (b)
    "Z" is repeated twice in the word FUZZY. Thus,
    5! / 2! = 60 ways

    hope this helps~ `u`

    posted by Jai

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    How many arrangements can be made using 4 letters of the word HYPERBOLAS if no letter is to be used more than once?
  2. Math grd12

    How many arrangements of five letters from the word 'certain' contain the letter 't'? Explain your reasoning.
  3. math: permutations

    How many different 4 letter arrangements can be formed from the letters in the word cards
  4. cross word puzzle

    This is for tomorrow and i'm in trouble with this puzzle, please help:ACROSS 9 letters and start with (au)the hint is groups of people who watch or listen to a show, speech, or other performance. Down:It starts off with (aw) and
  5. math

    use the formula nPr to solve how many arrangements can be made using four of the letters of the word COMBINE if no letter is to be used more than once?
  6. math: permutations

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

    For MAMMALS, find the munber of: a) 7-letter words b) 7-letter word beggining with MA c) 4-letter words i) all letters different ii) 2 letters same,2 different iii) 2 pairs same letters iv) 3 letters same
  8. math

    Evaluate the factorial expression 8!/6! Use the formula for nPr: How many arrangements can be made using the letters of the word HYPERBOLAS if no letter is to be used more than once.
  9. 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
  10. math

    Robert has three boxes of letters: The first box contains the six letters in the word "bubble" the second box has the three letters in the word "zoo" and the third contains the four letters in the word "taxi". If he randomly

More Similar Questions