How many three-digit numbers can be formed from the digits 2, 3, 5, 6, 7, and 9 which are divisible by 5, greater than 500, and none of the digits is repeated?
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As the required number is divisible by 5, the digit place must be 5.
As it is greater than 500, the hundred place is 6, 7 or 9 (5 is already used).
Ten place can be chosen among the remaining four digits.
Answer = 1 × 3 × 4 = 1 2