Question

How many 4 digit numbers divisible by 5 can be formed using the digits 0,1,2,3,4,5,6 ans 249?

Answer 1

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it should be divisible by 5 so the unit digit should be 0 or 5

by using box method

3*4*5*2 = 120

answer it 120 four digit numbers can be formed.

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if you don't know box method refer to permutation and combination chapter of class 11

Answer 2

4 digit numbers divisible by 5 that can be formed using the digits 0,1,2,3,4,5,6:

1) with repetition:

first digit can be any 6 digit except 0

second ,third digit can be any of 7 digits

and fourth digit can b 0 or 5 as number should be multiple of 5.

So,possible 4 digit number divisible by 5 is 6*7*7*2=588

2) without repitition

first case: number ends with 0

first digit can be any 6 digits except 0 as 0 is fourth digit,second digit any other remaining 5 digit and third digit can by any of remaining 4 digit

hence,possible 4 digit number divisible by 5 in this case is 6*5*4*1=120

second case: number ends with 5

first digit can be any 5 digits except 0 and 5 as 5 is fourth digit,second digit any other remaining 5 digit and third digit can by any of remaining 4 digit

hence,possible 4 digit number divisible by 5 in this case is 5*5*4*1=100

Hence possible 4 digit number divisible by 5 using digits 0,1,2,3,4,5,6 without repitition is 120+100=220