A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible? Choose the correct answer:  A) 5  B) 6  C) 9  D) 24  E) 26
Lets give some identification to the persons   5,B,C,D,E,F   They are arrang in decreasing order of their height   5 being tallest and F being smallest   To satisfy both the conditions   5 should be in the right most position of the second row (5 is the tallest in order to satisfy the condition increasing height from left to right 5 should be the right most and the back person should be taller then the front so 5 should be in the second row)   similarly F should be in the left most positon of first row   lets see the combinations   CB5--------second row   FED---------First row   DC5   FEB   DB5   FEC   EC5   FDB   EB5   FDC   these are the combinations which satisfy both the conditions   so the answer is 5 5
<result>A</result>
A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?