Question

How many numbers between 4000 and 5000 can be formed with the

digits 2, 3, 4, 5, 6, 7? How many of these numbers are divisible by 5?​

Answer 1

36 numbers

Explanation:

Number of digits in a number between 4000 and 5000 = 4

_ _ _ _

First digit of the number will be filled by 4.

So, the number of ways to fill the first digit = 1

4 _ _ _

If the given number is divisible by 5 then the last digit should be 5.

4 _ _ 5

So, the number of ways that the last digit should be 5 is = 1

Remaining 2 digits between 4 and 5 can be filled by any number given.

Therefore, number of ways that second place can be filled = 6

Similarly, number of ways that the third place of the number can be filled = 6

Now total number of ways = 1 × 6 × 6 × 1

= 36

Therefore, numbers between 4000 and 5000, divisible by 5 = 36