Question

How many different numbers, greater than $50000$ can be formed with the digits $0,1,2,5,9,$.

Answer 1

( Diagram : 1 )

Total number $(>50,000)$ that can be formed with digits $0,1,2,5,9$ when repetition is allowed $=(2\times 5\times 5\times 5\times 5)$ ways

$=1250ways.$

When repetition is not allowed :

( Diagram : 2 )

Total number $(>50,000)$ that can be formed with digits $0,1,2,5,9$ when repetition is not allowed $=(2\times 4\times 3\times 2\times 1)$ ways

$=48ways.$

Hence, solved.