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Mayank Bhardwaj Grade: 12
        

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

Answers : (1)

Badiuddin askIITians.ismu Expert
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


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Badiuddin



7 years ago
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