004 Sample Final A, Problem 17 - Revision history

Kayla Murray at 21:27, 11 May 2015

2015-05-11T21:27:16Z

Kayla Murray at 23:19, 5 May 2015

2015-05-05T23:19:10Z

Kayla Murray at 04:13, 1 May 2015

2015-05-01T04:13:32Z

Kayla Murray: Created page with " How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify..."

2015-04-28T22:49:21Z

Created page with "<span class="exam"> How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify..."

New page

<span class="exam"> How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)

@@ Line 3: / Line 3: @@
 ! Foundations
 |-
+|What is the maximum number of people we can choose from each couple to serve on the committee?
 |-
 |Answer:
 |-
+|We can at most choose one person from each couple to serve on the committee.
 |}

@@ Line 16: / Line 16: @@
 ! Step 1:
 |-
+|We can at most choose 1 person from the husband and wife pairs.
 |-
+|So, we have <math>5 \choose 4</math> ways to pick a 4 people from each couple.
 |}
@@ Line 24: / Line 24: @@
 ! Step 2:
 |-
+|But, then for each couple, we could choose the husband or the wife to serve on the committee.
 |-
+|So, there are <math>2 {5\choose 4} =10</math> ways to select a committee of four people.
 |}
@@ Line 52: / Line 32: @@
 ! Final Answer:
 |-
+|10
 |}
 [[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

← Older revision		Revision as of 04:13, 1 May 2015
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	<span class="exam"> How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)		<span class="exam"> How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Foundations
		+	\|-
		+	\|
		+	\|-
		+	\|Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+
		+	Solution:
		+
		+	{\| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 1:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 2:
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 3:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 4:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Final Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+	[[004 Sample Final A\|<u>'''Return to Sample Exam</u>''']]