SOLUTION: Find how many different odd numbers greater than 500 can be made using some or all of the digits 1, 3, 5 and 6 with no digit being repeated.

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Question 958227: Find how many different odd numbers greater than 500 can be made using some or all of the digits 1, 3, 5 and 6 with no digit being repeated.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Each number must begin with a 5 or 6.
Consider possible numbers beginning with 5.
second digit 6
561
563
565
second digit 3
531
535
536 not odd
second digit 1
513
516 not odd
So there are 6 numbers that qualify and start with 5
Consider possible numbers beginning with 6.
second digit 5
651
653
second digit 3
631
635
636 not odd
second digit 1
613
615
There are 6 numbers that qualify.
This gives a total of 12 numbers that qualify