Question

how many 4 digit numbers divisible by 8 can be formed from the digits 0,1,2,3,4,5 without repetition

Answer 1

$\bold {Any\;number\;which\;ends\;with\;0\;or\;5\;is\;divisible\;by\;5}$

We have to check for 4 digit numbers. The 4 digit number must end with 0 or 5. So there are two possiblities.

So in one’s position (0 or 5)- 2 possiblities.in ten’s position- all possiblities.. i.e 7 possiblitiesin hundred’s position- again all possiblities .. 7 in thousandth position- 6 possiblities ..( 0 cannot be in that position otherwise it will be a 3 digit number).

Therefore , the total number of 4 digit numbers that are divisible by 5 and made up of 0,1,2,3,4,5,6 is6*7*7*2=588.

Answer 2

Answer:

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