Question

How many three digit numbers can be formed from the digits $2,3,5,6,7$ and $9$ which are divisible by $5$ and none of the digits is repeated

• A. $5$
• B. $10$
• C. $15$
• D. $20$

Answer 1

The correct option is D $20$

$2,3,5,6,7,9$

Divisible by $5$

No repetition

Three digit numbers

There are $2$ blanks and $5$ numbers

${\Rightarrow }^5{P}_2\Rightarrow 5\times 4\Rightarrow 20$

Therefore $20$ Numbers are possible