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Question -

How many numbers of four digits can be formed with the digits 1, 3, 3, 0?



Answer -

Given:

The digits 1, 3, 3, 0

Total number of digits= 4

Digits of the sametype = 2

Total number of 4digit numbers = 4! / 2!

Where, zero cannot bethe first digit of the four digit numbers.

So, Total number of 3digit numbers = 3! / 2!

Total number ofNumbers = (4! / 2!) – (3! / 2!)

= [(4×3×2)/2] –[(3×2)/2]

= [4×3] – [3]

= 12 – 3

= 9

Hence, total number offour digit can be formed is 9.

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