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How many different signals can be transmitted by arranging 2 red, 3 yellow and 2 green flags on pole, if all the seven flags are used to transmit a si

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How many different signals can be transmitted by arranging 2 red, 3 yellow and 2 green flags on pole, if all the seven flags are used to transmit a signal?
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Required number of signals`=(7!)/((2!) xx(3!) xx (2!))`.
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