Question

How many numbers greater than a 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

The correct option is B

$12$

Find the total numbers :

Fix the digit $5$at the unit place. Now the number can be formed as three-digit or four-digit.

Total three-digit numbers formed divisible by $5={}^{3}P_2=3!=6$

Total four-digit numbers formed divisible by $5={}^{3}P_3=3!=3x2x1=6$

Therefore, total numbers$=6+6=12$.

Hence, the correct option is B.