Probability/Additional Topics in Probability and Counting
Question 03-06
Determine whether the statement is true or false.
- A combination is an ordered arrangement of objects.
{#1}
- The number of different ordered arrangements of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»n«/mi»«/math» distinct objects is «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»n«/mi»«mo»!«/mo»«/math»
{#2}
- If you devide the number of permutaions of 11 objects taken 3 at a time by 3!, you will get the number of combinations of 11 objects taken 3 at a time.
{#3}
- «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mmultiscripts»«mi»C«/mi»«mn»5«/mn»«none/»«mprescripts/»«mn»7«/mn»«none/»«/mmultiscripts»«mo»=«/mo»«mmultiscripts»«mi»C«/mi»«mn»2«/mn»«none/»«mprescripts/»«mn»7«/mn»«none/»«/mmultiscripts»«/math»
{#4}
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False. A permutation is an ordered arrangement of objects.
True
True
True
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4.0000000
0.3333333
0
]]>