SOLUTION: 3 -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. (

Algebra ->  Permutations -> SOLUTION: 3 -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. (      Log On


   

Question 1031196: 3 -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.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter A.

(d) The letter C must be at the end.

(e) The second letter must be a vowel.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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3 -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.                      7%5E3 = 343.
 
 (b) No letter can be repeated in a word.          7*6*5 = 210.
    
 (c) Each word must begin with the letter A.       7%5E2 = 49.
  
 (d) The letter C must be at the end.              7%5E2 = 49.   
 
 (e) The second letter must be a vowel.            49 + 49 = 98.