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Question -

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



Answer -

Given:

The digits 0, 1, 1, 5,9

Total number of digits= 5

So now, number greaterthan 50000 will have either 5 or 9 in the first place and will consists of 5digits.

Number of 5 digit numbersat first place = 4! / 2! [Since, 1 is repeated]

= [4×3×2!] / 2!

= 4 × 3

= 12

Similarly, number of 9digit numbers at first place = 4! / 2! = 12

The required number ofNumbers = 12 + 12 = 24

Hence, 12 differentnumbers can be formed.

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