How many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?	Choices
A) 14  B) 13  C) 12  D) 11  E) 10
The number = 2a + 3b &lt; 17   When a = 1, b = 1, 2, 3, 4, 5 -&gt; 2a = 2; 3b = 3, 6, 9, 12, 15 -&gt; the number = 5, 8, 11, 14--&gt;4 numbers   when a =2, b = 1,2,3,4-&gt; ....--&gt; 4 numbers   when a =3, b = 1,2,3 --&gt; ....--&gt; 3 numbers   Total number is already 11. Look at the answer there is no number greater than 11 --&gt; we dont need to try any more   Answer must be 11
<result>D</result>
How many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?