SOLUTION: the no. of numbers less than 1000 that can be formed out of digit 0,1,2,3,4,5 no digit is repeated is

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Question 830124: the no. of numbers less than 1000 that can be formed out of digit 0,1,2,3,4,5 no digit is repeated is
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
0,1,2,3,4,5

1.  3 digit numbers:

Choose the first digit any of 5 ways. (can't be 0)
Choose the second digit any of 5 ways. (can be 0)
Choose the second digit any of 4 ways.

That's (5)(5)(4) = 100 3 digit numbers

2.  2 digit numbers:

Choose the first digit any of 5 ways. (can't be 0)
Choose the second digit any of 5 ways. (can be 0)

That's (5)(5) = 25 2 digit numbers

3. 1-digit numbers:

6 ways 0,1,2,3,4,5

Total: 100+25+6 = 131

Edwin
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