Card games An Investigation Peter, Alan and Shirley are playing a game using the 9 cards shown below. The cards are turned over and mixed up, so that.

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Presentation transcript:

Card games An Investigation

Peter, Alan and Shirley are playing a game using the 9 cards shown below. The cards are turned over and mixed up, so that no one knows which card is which. Each player in turn picks up a card until they each have 3 cards and all 9 cards have been picked up. The players then add up the numbers on their own cards

Peter gets a total of 14. "You must have picked up cards with the numbers 7, 6 and 1 “, Alan said to Peter. “ Not necessarily ", said Peter, “it could have been cards numbered with 6, 5 and 3. INVESTIGATE and find all the different ways that the 9 cards can be picked up so that Peter has a total of 14 Alan has a total of 11 and Shirley has a total of 8.

Repeat the above example for the situation below. INVESTIGATE and find all the different ways that the 9 cards can be picked up so that Tom has a total of 12, Dick has a total of 10 and Harry has a total of Tom, Dick and Harry are playing a game using the nine cards shown

David, Elizabeth and Aimee' are playing a game using the 9 cards shown INVESTIGATE and find all the different ways that the 9 cards can be picked up so that David has a total of 10, Elizabeth has a total of 8 and Aimee' has a total of 7.

Solution Solution to :- the possibilities are listed in the table below

Solution :- the possibilities are listed in the table below

Solution Solution to :- the possibilities are listed in the table below