Grade 10 - Combinatorics

It is an arrangement of distinct objects.

• perambulation

• permutation

• percarbonate

• perception

It is a selection of objects wherein order is not important.

• combination

• confrontation

• contradiction

• consolidation

Which of the following is a permutation?

• Arranging books on a shelf in a specific order
• Solving a math equation
• Mixing ingredients in a recipe
• Organizing files in a folder

Which of the following is a combination?

• Choosing 3 toppings out of 5 available toppings for a pizza
• Choosing a color for a painting
• Picking a random number between 1 and 10
• Selecting a single item from a menu

If there are n objects to be arranged in a circle, what expression gives the total number of arrangements?

• 2n!
• n^n
• n!
• (n-1)!

When would you use a combination instead of a permutation?

• When the order of objects matters.

• When the order of objects does not matter.

• Combination and permutation are always used interchangeably.

• When dealing with circular arrangements.

There are 4 people standing in a line. How many ways can they be arranged?

• 12
• 6
• 10
• 24

There are 4 people in a round table. How many ways can they be arranged?

• 6
• 24
• 12
• 8

There are 7 people standing and there are 5 chairs. How many ways can the people be arranged in a row?

• 7!

• 7P5

• 5P7

• 5!

There are 6 books to be arranged on a shelf. How many ways can they be arranged?

• 6!

• 6P6

• 6P5

• 5!