Class 11

Math

Algebra

Permutations and Combinations

If repetitions are not allowed, the number of four digit numbers divisible by $5$ and formed with the digits $0,1,2,3,4,5,6$ is

- $220$
- $240$
- $370$
- $588$

Case 1) unit place is $0$

Numbers$=6×5×4=120$

Case 2) unit digit is $5$

Numbers $=5×5×4=100$

$∴$ total number $=120+100=220$