Class 11

Math

Algebra

Permutations and Combinations

Total $5−$digits numbers divisible by $6$ can be formed using $0,1,2,3,4,5$ if repetition of digits is not allowed is:

- $60$
- $48$
- $108$
- $216$

$5−$digits numbers divisible by $6$ can be formed using $0,1,2,3,4,5$

we have to use 1,5 and 2,4 as pairs so, we can put 0,3 as 5th no.

we can put only even digit at last

Taking 0

let 0 be ones place digit

$⇒4×3×2×1=24$

when last digit not 0

$⇒2×3×3×2×1=36$

Taking 3

$⇒2×4×3×2×1=48$

Total$=24+36+48=108$