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Resources tagged with Combinations similar to Dice & Spinners Interactive:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Decision Mathematics and Combinatorics > Combinations

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Teams

Stage: 5 Challenge Level: Challenge Level:1

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

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Coin Tossing Games

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by. . . .

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Chances Are

Stage: 4 Challenge Level: Challenge Level:1

Which of these games would you play to give yourself the best possible chance of winning a prize?

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Scratch Cards

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?

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Last Biscuit

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A game that demands a logical approach using systematic working to deduce a winning strategy

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Spectrometry Detective

Stage: 5 Challenge Level: Challenge Level:1

From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?

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The Olympic Torch Tour

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?

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Trominoes

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?

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Take Three from Five

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

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Factoring a Million

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

In how many ways can the number 1 000 000 be expressed as the product of three positive integers?

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The Secret World of Codes and Code Breaking

Stage: 2, 3 and 4

When you think of spies and secret agents, you probably wouldn’t think of mathematics. Some of the most famous code breakers in history have been mathematicians.