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 :
(b) No letter can be repeated in a word.
Your answer is :
(c) Each word must begin with the letter A.
Your answer is :
(d) The letter C must be at the end.
Your answer is :
(e) The second letter must be a vowel.
Your answer is :

  1. 👍 0
  2. 👎 0
  3. 👁 1,626
  1. a) no condition: 7x7x7x7 = 7^4 = 2401

    b) no repeats: 7x6x5x4 = 840

    c) begin with A, can I repeat the others ?
    I will assume I can:
    1x7x7x7 = 343

    d) same as c)
    7x7x7x1 = 343

    e) 2nd letter is a vowel
    7x2x7x7 = 686

    In c), d) and e) I assumed that letters can be repeated, you did not say otherwise.
    If they cannot be repeated , it is easy to change the calculations

    1. 👍 0
    2. 👎 0
  2. Thank you! I was able to do A & B but c,d,& e I would figure out. thanks again

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Probability

    You are given the set of letters ( A, B, C, D, E ). What is the probability that in a random five-letter string (in which each letter appears exactly once, and with all such strings equally likely) the letters A and B are next to

  2. sign language

    can someone help me with sign language please!! 1)_____ of the American Manual Alphabet hand-shapes are formed to resemble the letter they represent A)All B)some C)None 2)what are two main parts of forming signs? A) forming words

  3. English

    pwsafmix copy the letter string above on a piece of paper. cross out the second and last letters. Replace all vowels with letter C. insert an O before the second C. cross out the first and third letters. double the second letter.

  4. Lab Equipment

    What is a square mesh with a fiber center used for support? 9 letters, ends with an E What is a porcelain container used to heat things? 8 letters, second letter is "R" What type of bottle is used for storing acids and bases? 7

  1. math

    how many diferrent 9-letter words (real or imaginary) can be formed from the letters in the word ECONOMICS? the ans. must be 90,720

  2. ....

    p w s a f m i x copy the letters above on a piece of paper. cross out the second and last letters. replace all vowels with letters. double the second letter which letter sequence remains on your page? a. ssfmoi b.cffmmc c.sffmoc

  3. math

    How many 6-letter words can be made from the letters WASTEFUL if repetition of letters is allowed?

  4. Statistics

    Selecting a letter of the alphabet: If 3 letters of the alphabet are selected at random, find the probability of getting at least one letter "x". Letters can be used more than once. My answer was: P(at least 1 "x) = 1 - (25/26)^3

  1. geometry

    In the English alphabet, there are 7 capital letters that look the same after being rotated 180∘. Those letters are H, I, N, O, S, X, and Z. How many different 3 letter "words" can be made from these letters such that when the

  2. math

    Number of different words that can be formed using all the letters of the word DEEPMALA if two vowels are together and the other two are also together but separated from the first two

  3. Maths

    A word made by writing the seven letters used to spell "EXAMPLE" in some order. Find how many different 'words' are possible in each of the following cases. a) The first and the last letter are each "E" b) The two letters "E" are

  4. MATH

    Find 3 upper case letters that look the same when rotated 180 degrees. Then, what letter's 90, 180, and 270 degree rotations has this outline? This is also the inside lines formed by the rotation of what letter? and could explain

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