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Find the number of solutions to

x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9 + x_10 <= 2

in nonnegagive integers.

 Dec 14, 2022
 #1
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There are 2 stars and 10 bars which makes for \({12 \choose 10} = \color{brown}\boxed{66}\) combinations.

 Dec 14, 2022

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