Introduction to combinatorics and probability

Counting objects

Types of exercises: numbers with a given digit sum or product, how many numbers from given digits, counting by listing - situations.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

How many possibilities are there?

How many two-digit numbers have digits that add up to 9?

2

How many possibilities are there?

Rectangles with the same side lengths count as one (a square is a rectangle too). How many rectangles have an area of 81 dm² and sides whose lengths are whole numbers of decimetres?

3

How many possibilities are there?

How many different two-digit numbers can be made from the digits 0, 7, 9 if digits cannot repeat?

4

How many possibilities are there?

How many two-digit numbers have digits whose product is 24?

5

How many possibilities are there?

Rectangles with the same side lengths count as one (a square is a rectangle too). How many rectangles have an area of 32 cm² and sides whose lengths are whole numbers of centimetres?

6

How many possibilities are there?

How many different two-digit numbers can be made from the digits 4, 6, 7, 9 if digits cannot repeat?

7

How many possibilities are there?

How many three-digit numbers have digits that add up to 4?

8

How many possibilities are there?

Triangles with the same side lengths count as one. How many triangles have a perimeter of 21 m and sides whose lengths are whole numbers of metres?

9

How many possibilities are there?

How many different two-digit numbers can be made from the digits 0, 1, 8 if digits cannot repeat?

10

How many possibilities are there?

How many two-digit numbers have digits that add up to 14?

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Counting objects - exercises with solutions (Introduction to combinatorics and probability) | PhiBoard