SOLUTION: 4. Determine the number of different words of 5 letters each that can be formed with the letters of the word chromate (a) if each letter is used not more than once (b) if each

Algebra ->  Test -> SOLUTION: 4. Determine the number of different words of 5 letters each that can be formed with the letters of the word chromate (a) if each letter is used not more than once (b) if each       Log On


   

Question 1191177: 4. Determine the number of different words of 5 letters each that can be formed with the letters of the word chromate
(a) if each letter is used not more than once
(b) if each letter may be repeated in any arrangement. (These words need not have meaning.)
Show full solution, thank you!
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
4. Determine the number of different words of 5 letters each that can be formed with the letters
of the word chromate
(a) if each letter is used not more than once
(b) if each letter may be repeated in any arrangement. (These words need not have meaning.)
Show full solution, thank you!
~~~~~~~~~~~~~ 

Word  "chromate"  has 8 letters, all are different.   Therefore


(a)  the numberr of words is  8*7*6*5*4 = 6720.


     The product of 5 consecutive natural numbers starting from 8 in descending order.


     Any of the 8 letters in the first, leftmost, position;

     any of remaining 7 letters in the next position;

     any of   . . . and so on . . . 



(b)  the number of words is  8%5E5 = 8*8*8*8*8 = 32768.


     Any of 8 letters in the first, leftmost, position;

     any of 8 letters in the next position;

     any of   . . . and so on . . .

Solved, answered and explained, with the standard mantra attached/included.