A team has to design a flag. The team has six blue strips of cloth and seven red strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?  Choose the correct choice:  A) 42  B) 120  C) 720  D) 1,716  E) 5,040
The # of permutations of total 6+7= 
<gadget id="calculator">6+7</gadget>
<output>13</output>
13 strips where 6 are identical blue and 7 are identical red is 13!/(6!*7!)=1716 (note that they must use all the materials at hand, also I guess that the strips must be either only vertical or only horizontal).   Answer: 1,716.
<result>D</result>
A team has to design a flag. The team has six blue strips of cloth and seven red strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?