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Resources tagged with Combinations similar to NRICH Starter Problem Selection:

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There are 12 results

Broad Topics > Decision Mathematics and Combinatorics > Combinations

Last Biscuit

Stage: 3 and 4 Challenge Level:

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

The Olympic Torch Tour

Stage: 4 Challenge Level:

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

Take Three from Five

Stage: 4 Challenge Level:

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?

Stage: 2, 3 and 4 Challenge Level:

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .

Spectrometry Detective

Stage: 5 Challenge Level:

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

Trominoes

Stage: 3 and 4 Challenge Level:

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

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.

Factoring a Million

Stage: 4 Challenge Level:

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

Coin Tossing Games

Stage: 4 Challenge Level:

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. . . .

Teams

Stage: 5 Challenge Level:

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

Chances Are

Stage: 4 Challenge Level:

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

Scratch Cards

Stage: 4 Challenge Level:

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?