By using the numbers 0, 1, 3, 5 and 6 only once, how many five digit numbers can be made that are divisible by 15? Choose the correct choice from the following choices.
A) 12  B) 18  C) 24  D) 36  E) 42
A number to be divisible by 15 must end with 15, 30, 45,60,75 or 70.   So, there are the following cases possible:   035-15 --&gt; the first three digits can be arranged in 3=6 ways.   156-30 --&gt; the first three digits can be arranged in 3=6 ways.   135-60 --&gt; the first three digits can be arranged in 3=6 ways.   Total = 6+6+6= 
<gadget id="calculator">6+6+6</gadget>
<output>18</output>
18.   Answer:18.
<result>B</result>
By using the numbers 0, 1, 3, 5 and 6 only once, how many five digit numbers can be made that are divisible by 15?