Arrangements (Permutations) (Leaving Cert Mathematics): Quizzes

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Arrangements (Permutations)
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What does the term 'arrangement' or 'permutation' refer to?

Different ways to order distinct objects

In arrangements, does changing the order of objects create a new arrangement?

Yes, order matters in arrangements

How many different arrangements can be made from the letters A, B, and C?

6

What is the box method used for in arrangements?

Counting choices for each position

What does the notation n!n! (n factorial) mean?

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

What is the value of 5!5!?

120

How many ways can nn different objects be arranged?

n!n!

How many 4-digit numbers can be formed using digits 1, 2, 3, 4 (each once)?

24

When dealing with restrictions in arrangements, what should you do first?

Fill the restriction positions first

A word has 5 letters. It must start with A. How many ways to arrange the remaining 4 letters?

4!4! ways

When letters must always stay together, how should they be treated?

As one single unit

A word has 5 letters. If two specific letters must stay together, how many units to arrange?

4 units

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