Number of 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated is 20
A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
Given,
The digits = 2,3,5,6,7 and 9
The number should be divisible by 5 and the digits cannot be repeated
When the unit digit of the number is either 5 or 0, then the number will be divisible by 5.
Number of possible ways to fill the unit place = 1
Number of possible ways to fill the tens place = 5
Number of possible ways to fill the hundredth place = 4
Number of three digit number can be formed =4×5×1=20
Hence, the number of 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated is 20
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