lheiannie07 wrote:A certain gallery is hanging a series of 7 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?
A. 240
B. 200
C. 122
D. 80
E. 16
Number of options for the 2nd painting = 2. (Either of the 2 panel paintings.)
Number of options for the 6th painting = 1. (Must be the 1 remaining panel painting.)
Number of ways to arrange the remaining 5 paintings = 5! = 120.
To combine the options above, we multiply:
2*1*120 = 240.
The correct answer is
A.
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