Question

How many numbers greater than `300` can you make with the digits `1`, `2`, `3`, `4`, `5` and `6` ?

Answer 1

There are a total of `1880` such numbers.

Explanation:

Assuming we are allowed to use each digit at most once to form decimal strings then, we can enumerate the possibilities as follows:

• There are `6*5*4*3*2*1 = 720` suitable `6` digit numbers.

• There are `6*5*4*3*2 = 720` suitable `5` digit numbers.

• There are `6*5*4*3 = 360` suitable `4` digit numbers.

• There are `4*5*4 = 80` suitable `3` digit numbers.

That makes a total of:

`720+720+360+80 = 1880`