Counting Methods (VCE SSCE Mathematical Methods): Quizzes

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Counting methods
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10 questions from this quiz

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Which counting rule should you use when choosing between alternatives using 'or'?

Addition rule

Which counting rule should you use for sequential choices connected by 'and'?

Multiplication rule

What is the key difference between permutations and combinations?

Order matters for permutations only

What is the value of 5!5!?

120120

A menu has 44 soups, 55 salads, or 33 appetizers. How many starter choices total?

1212

With 55 shirts and 44 pants, how many outfits can be created?

2020

What is the formula for nPr^nP_r?

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

What is the formula for nCr^nC_r?

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

How many 3-digit numbers can be formed from digits 1,2,3,4,51,2,3,4,5 (no repeats)?

6060

How many ways to select 22 flavors from 55 if order doesn't matter?

1010

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