Question 357245: if 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.
b. no letter can be repeated in a word.
c. each word must begin with the letter A and letters can be repeated.
d. the letter C must be at the end and letters can be repeated.
e. the second letter must be a vowel and letters can be repeated.
Found 2 solutions by sudhanshu_kmr, edjones:
Answer by sudhanshu_kmr(1152)   (Show Source):
You can put this solution on YOUR website!
a)
no. of ways to form 4-letter words if no condition = 7 * 7 * 7 * 7 = 2401
because, at each place any one of 7 can be used.
b)
no. of ways to form 4-letter words without repetition = 7P4 = 840
c)
no. of ways to form 4-letter words begin with A = 7 * 7* 7 = 343
because, at each of remaining 3 places any one of 7 can be used.
d)
similarly as previous part, no. of ways = 343
e)
here 2 vowels, A and E.
no. of words when A is on second place = 343 (as previous part)
no. of words when E is on second place = 343
total no. of ways = 2 * 343 = 686
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Answer by edjones(8007)  (Show Source):
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