Exercise 7 Page 756

We are given an experiment and want to represent the sample space. To do so, we can make a table. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of two stages.

• First Item — eggs (E), pancakes (P), waffles (W), oatmeal (O), bacon (B), muffin (M)
• Second Item — eggs (E), pancakes (P), waffles (W), oatmeal (O), bacon (B), muffin (M)

  To make the table, we will list the outcomes of the first exercise in the left column and the outcomes of the second exercise in the top row. A customer can choose only different products.

  Outcomes	Eggs	Pancakes	Waffles	Oatmeal	Bacon	Muffin
  Eggs	*	E, P	E, W	E, O	E, B	E, M
  Pancakes	P, E	*	P, W	P, O	P, B	P, M
  Waffles	W, E	W, P	*	W, O	W, B	W, M
  Oatmeal	O, E	O, P	O, W	*	O, B	O, M
  Bacon	B, E	B, P	B, W	B, O	*	B, M
  Muffin	M, E	M, P	M, W	M, O	M, B	*

  The order of choosing the items does not matter. For example, pancakes and eggs is the same breakfast as eggs and pancakes. We should count only the half of the results from the table.

  Outcomes	Eggs	Pancakes	Waffles	Oatmeal	Bacon	Muffin
  Eggs	*	E, P	E, W	E, O	E, B	E, M
  Pancakes	P, E	*	P, W	P, O	P, B	P, M
  Waffles	W, E	W, P	*	W, O	W, B	W, M
  Oatmeal	O, E	O, P	O, W	*	O, B	O, M
  Bacon	B, E	B, P	B, W	B, O	*	B, M
  Muffin	M, E	M, P	M, W	M, O	M, B	*

  There are 15 different breakfast meals. This corresponds to option B.