Currently viewing the tag: "Permutations and combinations"
? + ? = 2025. How many ways can you replace the ? marks with whole numbers, or put whole numbers in the boxes, to make the sum correct?
Here is one way to do it. How many other ways can you find? Explain your answer.
Now […]
SQUARE GAME. Download the net and make a tetrahedral dice.
All players have 4 counters and put one anywhere on the top row of the gameboard. Players throw the dice in turn, using the Square Game key-table to find out where to go next, […]
In the Mathopia Lottery, 49 balls numbered 1 to 49 are mixed up and 6 different winning numbers are chosen by choosing 6 balls at random without replacing any of the balls. You can do this with numbered cards instead of balls. To play the game, all the players make their own […]
Place in a bag or envelope two balls (or cards) with odd numbers on them, and 3 with even numbers, and play the 2 Odds in 5 game, for example with balls numbered 2, 3, 4, 5 and 6. Pick out two balls or cards at random without replacing the first one. […]
Six bags of sweets each contain green, white, yellow, orange and red sweets with equal numbers of each colour (5 flavours).
You pick sweets from the bag without looking. If you pick 2 sweets what different combinations of colours can you get?
Both 9 and 10 can be made up in 2 different ways by adding pairs of the numbers 1, 2, … 6, that is
9 = 3 + 6 = 4 + 5
10 = 4 + 6 = 5 + 5
Explain why it is that when you throw two dice you are more […]
A staircase has 12 steps. You can go down the steps one at a time or two at time.
For example:
You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.
In how many different ways […]
Cut out pieces of paper or card to make counters or use stones or any small objects that are all different.
How many different ways can you arrange 3 coloured counters in a row?
Record each arrangement.
Now try 4 counters.
What about […]
Najwa and Zuki play a game.
They put two red and four blue ribbons in a box. They pull out two ribbons at the same time without looking at the colours.
Najwa wins if both ribbons are the same colour.
Zuki wins if the two ribbons are different colours.
You could play the […]
Practical activities like shaking hands, taking 2 books from a shelf and drawing the mystic rose pattern lead to understanding how to find the sum of a series and how and why different methods lead to the same result. These activities give learners the opportunity to develop logical thinking, and problem solving […]
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