01204211/activity4 counting 1 - ประวัติรุ่นแก้ไข

Jittat เมื่อ 00:34, 4 ตุลาคม 2558

2015-10-04T00:34:28Z

2015-09-10T02:54:48Z

2015-09-10T01:55:58Z

In-class activities

2015-09-10T01:52:20Z

In-class activities

2015-09-10T01:42:24Z

In-class activities

2015-09-10T01:42:10Z

In-class activities

2015-09-10T01:41:04Z

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 00:34, 4 ตุลาคม 2558
แถว 23:		แถว 23:

	'''A.6''' (LPV1.5.6) There are 20 flavors of ice cream. There are 12 children. Each child can have as many ice cream as she or he wants, but she or he cannot have more than one scoop of each flavor. It is possible that some child does not want any ice cream. In this problem, the order that a child has an ice cream does not matter, i.e., a having a scoop of chocolate and a scoop of vanilla ice cream is the same as having a scoop of vanilla and a scoop of chocolate ice cream. In how many ways can these children have ice cream?		'''A.6''' (LPV1.5.6) There are 20 flavors of ice cream. There are 12 children. Each child can have as many ice cream as she or he wants, but she or he cannot have more than one scoop of each flavor. It is possible that some child does not want any ice cream. In this problem, the order that a child has an ice cream does not matter, i.e., a having a scoop of chocolate and a scoop of vanilla ice cream is the same as having a scoop of vanilla and a scoop of chocolate ice cream. In how many ways can these children have ice cream?
−
−	~~== Homework ==~~

@@ แถว 3: / แถว 3: @@
 == In-class activities ==
-'''A.1''' Prove that the number of subsets of a set with <math>n</math> elements is <math>2^n</math> by induction.
+'''A.1''' (LPV1.3.2) Let <math>A=\{1,2,3,\ldots,n\}</math>.  What is the number of subsets of <math>A</math> that contains <math>n</math>?
-'''A.2''' (LPV1.3.2) Let <math>A=\{1,2,3,\ldots,n\}</math>.  What is the number of subsets of <math>A</math> that contains <math>n</math>?
+'''A.2''' Prove that the number of subsets of a set with <math>n</math> elements is <math>2^n</math> by induction.

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 01:55, 10 กันยายน 2558
แถว 9:		แถว 9:


−	'''A.3'''	+	'''A.3''' The new kWatch smartwatch comes in many configurations. You can choose the face size of 1 inch or 2 inches. For the case, there are 3 options: steel, aluminium and gold. For the watch band, there are 20 options. In how many ways can you configure your new kWatch?

@@ แถว 9: / แถว 9: @@
-'''A.3''' (LPV1.3.3) Prove that a nonempty set has the same number of odd subsets as even subsets.
+'''A.3'''
 For example, consider set <math>\{1,2,3\}</math>.  It has 4 odd subsets: <math>\{1\},\{2\},\{3\},\{1,2,3\}</math>; and 4 even subsets: <math>\emptyset,\{1,2\},\{1,3\},\{2,3\}</math>
 ''Hint: a bijection.''
 == Homework ==

@@ แถว 13: / แถว 13: @@
 For example, consider set <math>\{1,2,3\}</math>.  It has 4 odd subsets: <math>\{1\},\{2\},\{3\},\{1,2,3\}</math>; and 4 even subsets: <math>\emptyset,\{1,2\},\{1,3\},\{2,3\}</math>
-Hint: show that a bijection exists.
+''Hint: a bijection.''
 == Homework ==

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 01:41, 10 กันยายน 2558
แถว 6:		แถว 6:


−	'''A.2'''	+	'''A.2''' (LPV1.3.2) Let <math>A=\{1,2,3,\ldots,n\}</math>. What is the number of subsets of <math>A</math> that contains <math>n</math>?
		+
		+
		+	'''A.3''' (LPV1.3.3) Prove that a nonempty set has the same number of odd subsets as even subsets.
		+
		+	For example, consider set <math>\{1,2,3\}</math>. It has 4 odd subsets: <math>\{1\},\{2\},\{3\},\{1,2,3\}</math>, and 4 even subsets: <math>\emptyset,\{1,2\},\{1,3\},\{2,3\}</math>

	== Homework ==		== Homework ==