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):
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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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