Arrangements (VCE SSCE Mathematical Methods): Quizzes

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Arrangements
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10 questions from this quiz

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What is the key feature that distinguishes arrangements from other counting methods?

Order matters

What is the value of 5!5!?

120120

How many ways can nn objects be arranged in a row?

n!n!

What is the value of 0!0!?

11

What formula gives arrangements of rr objects chosen from nn objects?

n!(nr)!\frac{n!}{(n-r)!}

How many ways can 3 letters be chosen and arranged from 5 letters?

6060

What does the notation nPr^nP_r represent?

Arrangements of rr from nn objects

How many 4-digit numbers from digits 1-9 if digits CAN repeat?

94=65619^4 = 6561

When solving arrangement problems with restrictions, what should you do first?

Deal with the restriction first

For even 4-digit numbers from 1-8 (no repeats), how many choices for the last position?

44 choices

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