SOLUTION: Using the letters A B C D E, (letters may not occur more than once) how many three-letter sequences are possible? How many four-letter and how many five-letter sequences?

Algebra.Com
Question 564642: Using the letters A B C D E, (letters may not occur more than once) how many three-letter sequences are possible?
How many four-letter and how many five-letter sequences?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Using the letters A B C D E, (letters may not occur more than once)
how many three-letter sequences are possible?:::5*4*3 = 60
----------
How many four-letter:::5*4*3*2 = 120
----------
how many five-letter sequences?:::5! = 5*4*3*2*1 = 120
================
Cheers,
Stan H.
=====================

RELATED QUESTIONS

how many different three letter codes are there if only the letters a,b,c,d,e,f are used... (answered by stanbon)
license plate begins with 3 letters. If the possible letters are A, B, C, D, E, and F,... (answered by Edwin McCravy)
How many 6-letter "words" are possible using the letters A, B, C, D, E, F (no repeats... (answered by Alan3354)
How many three-letter combinations are possible using the letters D,E,F,G and... (answered by Alan3354)
1. How many strings of 5 lower case English letters are there that have the letter x in... (answered by edjones)
a 4-letter word is to made using letters from the set (a,b,c,d,e,f) How many words are... (answered by sudhanshu_kmr)
more help needed: Outside a home, there is an 8-keypad with letters, A,B,C,D,E,G,F,G... (answered by richard1234)
How many different three-letter codes are there if only the letters A, B, C, D, and E can (answered by ikleyn)
How many four-letter arrangements can be made using the letters {a, b, c, d, e} if... (answered by Edwin McCravy)