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\sqrt51 - \sqrt1 = \sqrt51 - 1 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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$ (r, b, g) = (3, 1, 1) $
Now compute the number of ways for each case using combinations:
$ \binom{8}{1} \binom{6}{1} \binom{4}{3} = 8 \cdot 6 \cdot 4 = 192 $
$ \binom{8}{1} \binom{6}{2} \binom{4}{2} = 8 \cdot 15 \cdot 6 = 720 $
$ \binom{8}{1} \binom{6}{3} \binom{4}{1} = 8 \cdot 20 \cdot 4 = 640 $
$ \binom{8}{2} \binom{6}{1} \binom{4}{2} = 28 \cdot 6 \cdot 6 = 1008 $
$ \binom{8}{2} \binom{6}{2} \binom{4}{1} = 28 \cdot 15 \cdot 4 = 1680...
$ \binom{8}{3} \binom{6}{1} \binom{4}{1} = 56 \cdot 6 \cdot 4 = 1344 $
Add all these:
+ 720 + 640 + 1008 + 1680 + 1344 = \boxed{5584}

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