Question

Find the number of four-digit numbers that
can be formed by the digits :- 0,1,2,3,4,5,6 when repetition is not allowed such that the numbers are divisible by 4. ​

Answer 1

Step-by-step explanation:

We know that the rule for divisibility is that the last 2 digits must be divisible by 4 as whole like 16,04,08,12 etc.

So, our last 4 digits can be 12,24,32,44,52,32 only suppose we 1st take 12 and then we have 5 choice for 1st digit of repetition is allowed and similarly 5 for 2nd.

∴25 numbers ending with, so total number 25×5=125

Hence, the answer is 125.