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

  1. 👍 0
  2. 👎 0
  3. 👁 88
asked by Lisa
  1. I am not doing the problem for you but perhaps I can give you an idea.
    Let's see. I have to work with
    M M M A A L S
    If all letters were different the answer would be 7!, but they are not.

    Let me try a simpler example
    A A B B
    A B A B
    A B B A
    B A A B
    B B A A
    B A B A Hmm six of them, not 4!
    Looks like permutations of 4 items divided by permutations of 2 As divided by permutations of 2 Bs
    4!/(2!*2!) = 4*3*2 /( 2*2) = 6
    Let's try it with 3 As and 1 B
    A A A B
    A A B A
    A B A A
    B A A A Is that 4!/(3!*1!) ?
    4*3*2 /(3*2*1) = 4, sure enough.

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Data Management

    For PLANETS, find the number of : 4-letter words which must include a L and A 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

    asked by Lisa on January 18, 2008
  2. probobility

    4 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. Your answer is : Preview (b) No letter can be repeated in a

    asked by anna on March 22, 2016
  3. language arts

    There is this paper that my teacher gave me and its sooooooo confusing.The directions say:change the word at the bottom of each ladder to the word at the top.Change one letter at a time.Rules:1.If the letter is to the right of the

    asked by jacob on May 31, 2010
  4. Math

    From the word COMBINE, how many different 7 letter words are possible : - with I adjacent to N? - with alternating vowels and consonants? -if a 5 letter word instead of 7 letter word is made from COMBINE, how many probability are

    asked by Mia on June 14, 2012
  5. history

    need these letters unscrambled to make a nine letter word relating to native americans R E T A M I L A F The 4 letter is E the 5th letter is R and the 6th letter is I

    asked by Patti on October 4, 2007
  6. spelling scrabble

    Hello...I need at least a 6 letter word. The third letter must be either an i or an o. The fourth letter must be a h and the sixth letter must be an e. Any geniuses out there? let me know asap please!!!! thanks for the effort and

    asked by king mike on January 6, 2013
  7. Listening

    I need to find the answer to this riddle. I followed the directions but didn't come up with anything I see that makes sense. Can anyone help please? Thanks! What word is spelled after following these directions? 1. Write the words

    asked by Britney on June 27, 2010
  8. 5-6th grade Math

    Follow instructions: 1) Write the word SOLAR. 2) Add the 5th letter of the alphabetto the right of the last letter from the left. 3) Remove the 19th letter of the alphabet and replace them with the 14th letter of the Alphabet. 4)

    asked by Meredith on January 23, 2013
  9. Maths

    1)A two-figure number is written down at random. Find the probability that a)the number is greater than 44 b)the number is less than 100 2)A letter is picked at random from the english alphabet. Find the probability that a)the

    asked by Anonymous on January 28, 2008
  10. English

    I'm a 7 Letter Words, You Read me daily, My 5, 6, 7th Letter increases every Year. 3rd and 4th Letter are the Same. My 3rd, 2nd and 5th Letter Covers 75% of the World. What am i?.

    asked by Tesa on October 6, 2012

More Similar Questions