Question

How many numbers greater than hundred and divisible by 5 can be made from the digits 3, 4, 5, 6, if no digit is repeated.

• A. 6
• B. 12
• C. 24
• D. 30

Answer 1

Answer: (B)

12

Answer 2

Numbers which are divisible by 5 have ‘5’ fixed in extreme right place

3 Digit Numbers					4 Digit Numbers
H	T		U		Th	H	T	U
×	×		5		×	×	×	5
3P2 ways					3P3 ways
= $\frac{3!}{1!}$ = 3 × 2					= $\frac{3!}{0!}$ = 3 × 2
⇒Total ways = 12.