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`        A 5 digit no. formed by usng 0,1,2,3,4,5 without repitition the prob. that it is divisible by 6 ?`
7 years ago

147 Points
```										Dear Mayank
a number is divisibe by 3 and 2 then it is divisible by 6
divisibility by 2
digit at unit place must be even
divisibility by 3
sum of the digit divisible by 3
so only two combination is possible 1,2,3,4,5   and 0,1,2,4,5
for 1,2,3,4,5
unit place can be filled by 2 ways
all other 4 places can be filled by 4*3*2*1 ways
so total ways  = 2*4*3*2*1 = 48 ways
for  0,1,2,4,5
0 is at unit  place
all  other 4 places can be filled by 4*3*2*1 ways = 24
0 is not at the unit place
unit  place can be filled by 2 ways
all other place can be filled 3*3*2*1
total ways =2* 3*3*2*1 =36
so  48+ 24+36 = 108  ways
probability = 108/5*5*4*3*2
=.18
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed  solution very  quickly. We are all IITians and here to help you in your IIT JEE preparation.All the best. Regards,Askiitians ExpertsBadiuddin

```
7 years ago
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