A certain gallery is hanging a series of 6 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE	Pick:
A) 240  B) 200  C) 122  D) 80  E) 36
We need to consider them separately because the question specifies:   1. Panel paintings have to be placed only at 2nd, 3nd and 6th place.   2. Implies that Canvas has to be placed 1,4,5th place.   So we have two separatebucketsto consider.   So panels can be ordered in 3!   Canvas can be ordered in 3!   since relative position of panels to canvas is fixed (Panels 2nd and 6th) the answer is 3! x 3! = 36   36
<result>E</result>
A certain gallery is hanging a series of 6 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE