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Practice — Permutations and combinations • Problem solving with permutations and combinations

Problem solving with permutations and combinations: check 1
Difficulty: ★★☆
2813
Info
M4U-EXT-QP-9709-S1-T146-O1

Maths4U Original · Short practice

There are 6 distinct labelled tokens, including A and B. Consider each selection or arrangement separately.

How many unordered groups of three tokens can be chosen?

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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Problem solving with permutations and combinations: review variant 1
Difficulty: ★★☆
2814
Info
M4U-EXT-QP-9709-S1-T146-O1-V1

Maths4U Original · Short practice

There are 7 distinct labelled tokens, including A and B. Consider each selection or arrangement separately.

How many unordered groups of three tokens can be chosen?

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
Problem solving with permutations and combinations: check 2
Difficulty: ★★☆
2815
Info
M4U-EXT-QP-9709-S1-T146-O2

Maths4U Original · Short practice

There are 7 distinct labelled tokens, including A and B. Consider each selection or arrangement separately.

How many ordered rows of three distinct tokens can be formed?

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
Problem solving with permutations and combinations: review variant 2
Difficulty: ★★☆
2816
Info
M4U-EXT-QP-9709-S1-T146-O2-V1

Maths4U Original · Short practice

There are 8 distinct labelled tokens, including A and B. Consider each selection or arrangement separately.

How many ordered rows of three distinct tokens can be formed?

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
Problem solving with permutations and combinations: check 3
Difficulty: ★★☆
2817
Info
M4U-EXT-QP-9709-S1-T146-O3

Maths4U Original · Short practice

A container has 17 red and 4 blue counters. Two are selected uniformly, one after the other, without replacement.

Given that the second counter is red, find the probability that the first was red.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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Problem solving with permutations and combinations: review variant 3
Difficulty: ★★☆
2818
Info
M4U-EXT-QP-9709-S1-T146-O3-V1

Maths4U Original · Short practice

A container has 18 red and 5 blue counters. Two are selected uniformly, one after the other, without replacement.

Given that the second counter is red, find the probability that the first was red.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
Problem solving with permutations and combinations: check 4
Difficulty: ★★☆
2819
Info
M4U-EXT-QP-9709-S1-T146-O4

Maths4U Original · Short practice

A container has 18 red and 5 blue counters. Two are selected uniformly, one after the other, without replacement.

Find the probability that both are blue.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
Problem solving with permutations and combinations: review variant 4
Difficulty: ★★☆
2820
Info
M4U-EXT-QP-9709-S1-T146-O4-V1

Maths4U Original · Short practice

A container has 19 red and 6 blue counters. Two are selected uniformly, one after the other, without replacement.

Find the probability that both are blue.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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