Question

How many distinct four digit numbers can be formed from the digits $4,5,6,7,8,9$?

• A. $180$
• B. $720$
• C. $360$
• D. $300$

Answer 1

The correct option is C $360$

Given the digits $4,5,6,7,8,9$.

We have to find distinct four digit numbers which is equal to filling of four vacant places without digits being repeated.


Once place can be filled in $6$ different ways.

Ten's place be filled in $5$ different ways.

Hundredth place in $4$ different ways.

And, thousands place can be filled in $3$ different ways.

So, number of distinct $4$ digit numbers are $=6\times 5\times 4\times 3=360$