Answer: 6
There are 3 choices for the first kid, 2 for the remaing kids and then only 1 space left for the kid at the end of the line.
3x2x1=6 ways.
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1. 1232. 1323. 2314. 2135. 3216. 312
for the first student in the line there are 10 choices, then for the second 9 choices left, for the third 8 choices left and so on... So it's 10x9x8x7x6x5x4x3x2x1 = 3628800
4*3*2*1 = 24 ways.
There are n! (n factorial) ways that n people can stand in line. So six people can stand in line in: 1*2*3*4*5*6 = 720 different ways
5x4x3x2x1=120