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MATHS WEEK: The answer to Monday's puzzle

Did you get it?

THIS IS THE solution to yesterday’s rugby-themed question.

1. How many ways is there for a team to score 17 points in a rugby match?

Answer: There are 3 ways for a team to score 17 points

Method

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2. If two teams play and their final scores together add up to 17 points, how many ways is there to make up this score?

Answer: 11

Method

If the two teams’ score adds to 17 point this can be made in a far greater number of ways.

For a start there are 6 different scorelines:

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Remember there are three ways for a team to score 17 points. So there may be other ways for each of the other scorelines. These are worked out below.

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Details of each of these:

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3. And finally, if we are to differentiate between penalty goals and drop goals how many ways are there for the two teams to score a match total of 17 points?

Answer: 44

Method

A score of 3 goals could be:

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That is 4 possibilities (= number of goals + 1)

If the opposing team also scored several goals we would calculate the number of possibilities the same way (number of goals + 1) and multiply this number by the number of possibilities for the first team.

For instance if Team 1 scores 3 goals and Team 2 scores 1 goal the possibilities are –

(3 + 1) x (1 + 1) = 8

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Did you get all three questions correct? Let us know in the comments.

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