Question

How many 3 digit even no. Can be made using the digits 1,2,3,4,5,6,7without repetition?

Answer 1

Answer:

Step-by-step explanation: To be a even number the number should end with either 2, 4 or 6.

Possibilities at unit’s place = 3

So, ten’s place can have 2 of the three even numbers or 1, 3 ,5.

Possibilities at ten’s place = 5

Therefore, at the hundred’s place there can be 2 of the three odd numbers or 1 of the three even numbers.

Possibilities at hundred’s place = 4.

TOTAL NUMBER OF POSSIBILITIES OF EVEN NUMBERS

= PRODUCT OF POSSIBILITIES OF EACH PLACE.

Total number of even number possibilities = 5*3*4

= 60.