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Home » Thus, the number of different committees that can be formed is \(\boxed70\). - Midis

Thus, the number of different committees that can be formed is \(\boxed70\). - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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$ (19a + 5b + c) - (7a + 3b + c) = 6 - (-4) $
$ \Rightarrow 12a + 2b = 10 \Rightarrow 6a + b = 5 \quad \text{(8)} $
$ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $
$ \Rightarrow 18a + 2b = -18 \Rightarrow 9a + b = -9 \quad \text{(9)}...
Subtract (8) from (9):
$ (9a + b) - (6a + b) = -9 - 5 \Rightarrow 3a = -14 \Rightarrow a = -\...
$ 6(-\frac{14}{3}) + b = 5 \Rightarrow -28 + b = 5 \Rightarrow b = 33...
Substitute $ a = -\frac{14}{3}, b = 33 $ into (5):
$ 7(-\frac{14}{3}) + 3(33) + c = -4 \Rightarrow -\frac{98}{3} + 99 + c...
$ \Rightarrow \frac{-98 + 297}{3} + c = -4 \Rightarrow \frac{199}{3} +...

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