Currently viewing the tag: "Permutations and combinations"
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?
Do your own experiments using number cards to play the games and pick 2 cards at random each time.
In Game A an envelope or bag contains balls, or cards, numbered 2, 3, 4, 5 and 6. Pick out two balls or cards at random. If the total is even you win. […]
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 […]
In the Mathsland Lottery, 49 balls are numbered 1 to 49 and 6 balls are chosen at random without replacing any of the balls so that 6 different winning numbers are chosen.
Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]
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 […]
Put positive whole numbers into 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 answer the same question for the year you were born.
Click here for the HOW MANY […]
A container holds 4 yellow balls, 2 blue balls and a red ball. The balls are identical in all ways except colour. When you shake the container the balls settle into a hexagonal pattern as shown in the diagram.
You win if two blue balls touch.
How many different ways can […]
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