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

The video tutorial addresses a problem where Jeff is choosing a shrub and a rose tree for his garden. With 17 types of shrubs available, Jeff claims there are 215 ways to choose one shrub and one rose. The tutorial demonstrates solving the equation 17 times x equals 215, resulting in a non-whole number, indicating Jeff's claim is incorrect. The video emphasizes the importance of whole numbers in this context and introduces the concept of combinations and permutations, which is new to the high syllabus. The tutorial concludes with a reminder of the marks allocation for the problem and encourages practice.

How many types of shrubs are available at the garden center?

• 17

• 16

• 18

• 15

What is the total number of combinations Jeff believes he can make with one shrub and one rose?

• 215

• 200

• 220

• 225

What is the result of dividing 215 by 17?

• 13

• 12.647

• 12.5

• 14

Why does the result of the division need to be a whole number?

• Because you can't buy a fraction of a rose

• Because roses are sold in pairs

• Because the garden center only sells in dozens

• Because shrubs are more expensive

What mathematical concepts are introduced in this problem?

• Statistics and Probability

• Calculus and Trigonometry

• Algebra and Geometry

• Combinations and Permutations