Question

Find the total number of $4\,$ digit number that are greater than $3000,$ that can be formed using the digits $1,2,3,4,5,6$ (no digit is being repeated in any number).

Answer 1

We have, six digits $1,2,3,4,5,6$
$____$
For greater than $3000\,$ , first place can be filled by $3,4,5,6$
Total number of four digit numbers $=4\times 5\times 4\times 3=240\,$