GCSE Secondary Maths Age 13-17 - Number: Combinations - Explained

The video tutorial explains how to use three tiles, each with a different number, to form all possible numbers. It demonstrates the process of rearranging the tiles to create six unique numbers: 123, 132, 213, 231, 312, and 321. The tutorial emphasizes the importance of using all three tiles for each number and concludes by stating that there are six different numbers possible, which is also the answer to the question posed. The video also mentions the marking scheme for listing all possibilities and stating the correct number of combinations.

What is the main task that Sunny is trying to accomplish with the tiles?

• To determine how many different numbers can be made

• To create a sequence of numbers

• To find the largest number possible

• To arrange the tiles in alphabetical order

How does the narrator suggest starting the process of forming different numbers?

• By arranging the tiles in descending order

• By changing the numbers on the tiles

• By keeping one tile fixed and swapping the others

• By using only two tiles at a time

Which of the following is a correct combination of numbers formed by the tiles?

• 132

• 213

• 321

• 312

What is the total number of different numbers that can be formed using the tiles?

• Five

• Four

• Six

• Three

Why is it important to list all possible combinations of numbers?

• To find the smallest number possible

• To verify the total number of combinations

• To arrange them in numerical order

• To ensure no combination is repeated