John must arrange 2 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?	Pick.
A) 6 B) 12 C) 36 D) 120 E) 720
First Place, is reserved for Math book. There are 3 Math books which can be arranged in3 ways   Restriction comes into playhysics book cannot be together. Hence, the maththe physics books take alternate places   Second Place, Physics Book - in 3 ways   Third Place, Math Book - in 2 ways (only 2 books left)   Fourth Place, Physics - in 2 ways (only 2 Physics book left)   Rest two places can be arranged in one way only.   Total no of ways = 3*2*2*1*1= 
<gadget id="calculator">3*2*2*1*1</gadget>
<output>12</output>
12 ways   12
<result>B</result>
John must arrange 2 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?