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. 👍
  2. 👎
  3. 👁
  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. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. world issuse

    I'm a 7 letter word u read daily,my 5th 6th and 7th letter increase each year,my 3rd n 4th letter are the same,my 3rd 2nd n 5th letter cover 75% of the world.

  3. reading

    1.What is the main purpose of a dictionary?(1 point) provide information about domain-specific words related to a text provide definitions and pronunciation of words provide a list of synonyms and antonyms for words

  4. probability

    A letter of english alphabets is chosen at random.What is the probability that it is a letter of the word MATHEMATICS.

  1. history

    What are some nine letter words with 2nd letter a and 4th letter o

  2. maths

    A letter is picked at random from the English alphabet. Find the probability that the letter : a) Appears in the word GEOMETRY

  3. math

    A letter is chosen at random from the word EXTRATERRESTRIAL. Find the probability of the given event. (a) The letter A is chosen.

  4. MATH - URGENT!!!

    In how many ways can you spell the word COOL in the grid below? You can start on any letter, then on each step you can step one letter in any direction (up, down, left, right, or diagonal). You cannot visit the same letter twice.

  1. Math Help!!!

    How many 3 letter sequences can be formed if the first letter must always be a consonant (not a, e, i, o, u), the second letter must always be a vowel (a,e,i,o,u) and 3rd letter must be different from the first. A. 2100 B. 4056 C.

  2. English

    Seven letter word , second letter an a , fourth letter an e, and sixth letter an u, what is this word?

  3. Pre-calculus-ck answer

    how many different ways can the letters in the word SOCIAL be arranged if the letter C must be directly followed by the letter I? Answer: 720

  4. Riddle

    I am a seven letter word most people want me. If you have the second third and fourth letter you are sick. The 5th, 6th, and 7th letters are something with a charge. What am I?

You can view more similar questions or ask a new question.