Example 2 How many ways can two people from your group be asked to baby-sit a gr

Question

Example 2 How many ways can two people from your group be asked to baby-sit a group of kids next door? Hint Is order important in the arrangement of two individuals?) List each arrangement The two examples above refer to concepts commonly encountered when enumerating possibilities: Permutations and Combinations, A Permutation is a collection of distinct objects arranged in a specific order, while a Combination is a collection of distinct objects without any specific order Example 3 Which example above is a Permutation and which is a Combination? Example 4: Given the following set [A, B, C, D), List the arrangement of two elements taken in such a manner that order is important (A, B) is considered different than (B, A) Label this collection as a permutation or a combination

Explanation / Answer

Example 2: Since the order is not important in this case, there is only one way that the two people can babysit.

There is only one 'arrangement' i.e (First person and second person)

3. There is only one example and it is combination.

(Unless question 1 was about permutation)

4. The collection is a permutation.

The arrangements are:

{A, B}

{B, A}

{A, C}

{C, A}

{A, D}

{D, A}

{B, C}

{C, B}

{B, D}

{D, B}

{C, D}

{D, C}

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