SOLUTION: the number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is a)124 b)120 c)125(correct) d)none of these

Algebra ->  Permutations -> SOLUTION: the number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is a)124 b)120 c)125(correct) d)none of these      Log On


   

Question 1031497: the number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is
a)124
b)120
c)125(correct)
d)none of these
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Case 1: two digit numbers:

Choose the first digit 5 ways (can't choose 0)
Choose the second digit 5 ways (can choose 0)

That's 5*5 = 25 two digit numbers.

Case 2:  three digit numbers

Choose the first digit 5 ways (can't choose 0)
Choose the second digit 5 ways (can choose 0)
Choose the third digit 4 ways.

That's 5*5*4 = 100 three-digit numbers.

Grand total:  25+100 = 125

Edwin