Two boys and three girls are going to sit around a table with 5 different chairs. If the two boys want to sit together, in how many possible ways can they be seated?
"Anchor" the boys in any 2 chairs......there are 2 ways they can sit
And foreach of these, the girls can be seated in 31 = 6 ways
So
2 * 6 = 12 possible arrangements
+407 
