In how many ways can 6 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately? Choices:  A) 12880  B) 11850  C) 13260  D) 15200  E) 17280
The six art students can be arranged in those 6 A-slots in 6! = 720 ways.   The four science students can be arranged in those 4 S-slots in 4! = 24 ways.   Total arrangements = 720*24= 
<gadget id="calculator">720*24</gadget>
<output>17_280</output>
17280   Answer=(17280)
<result>E</result>
In how many ways can 6 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately?