# Using the d

For the number to be greater than 20000 there are only two possibility. 5th place will be fixed with 2.

Remaining four places can be filled in 4! ways now.

So total number of ways fir a number to start with 2 is 4! = 4× 3× 2× 1

= 24 ways 5th place will be fixed with 3.

Since number is repeating so we use the formula .

Here p1= 2 as number 2 is repeated two times.

Now the remaining places can be filled in ways. = 12 ways

So total ways = 24 + 12

= 36 ways

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