Question

How many different four-digit numbers can be made using the digits 1,2,3,4,5,6 if no digit can be used more than once?

Answer 1

360

Explanation:

The given digits are 1,2,3,4,5,6.

So, total number of digits = 6.

We need to find the number of different ways to form four-digit numbers using the digits, without repetition.

Total ways for first place = 6

After selecting 1 digit the number of remaining digits is 5. So,

Total ways for second place = 5

Similarly,

Total ways for third place = 4

Total ways for forth place = 3

Total number of ways =
`6* 5* 4* 3=360`

Therefore, 360 four digit numbers are possible.