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

Asked by Aaryan | 1 year ago |  25

##### Solution :-

Given:

The digits 1, 3, 3, 0

Total number of digits = 4

Digits of the same type = 2

Total number of 4 digit numbers = $$\dfrac{4! }{ 2!}$$

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

So, Total number of 3 digit numbers = $$\dfrac{3! }{ 2!}$$

Total number of Numbers = $$\dfrac{4! }{ 2!} – \dfrac{3! }{ 2!}$$

= [4×3] – 

= 12 – 3

= 9

Hence, total number of four digit can be formed is 9.

Answered by Sakshi | 1 year ago

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