The product rule for counting (AQA GCSE Further Maths): Quizzes

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The product rule for counting
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13 questions from this quiz

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What does the product rule for counting tell you to do with the number of options at each step?

Multiply them together

What is the value of 0!0! by special definition?

11

How many ways can you arrange 4 distinct cards in a line?

2424

What does n!n! equal for a positive integer nn?

n×(n−1)×...×2×1n \times (n-1) \times ... \times 2 \times 1

How many seven-digit numbers can be made using cards numbered 2, 3, 4, 5, 6, 7, 8 (each used once)?

5,0405,040

How many starting arrangements are possible for 6 volleyball players in 6 different positions?

720720

Using digits {3,1,7,9,8,5} once each, how many four-digit numbers can you make?

360360

From {3,1,7,9,8,5}, how many even three-digit numbers can be made (each digit used once)?

2020

When handling constraints in counting problems, which conditions should you deal with first?

The most restrictive

In UK registration plates (from 2001), how many choices are there for each of the last 3 letters?

2424

The product rule applies when choices are made in what manner?

In sequence

From {3,1,7,9,8,5}, how many odd numbers >500,000 can be made using each digit once?

408408

In which type of problems does the product rule directly give the number of arrangements?

Where order matters

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