The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while Set B
represents parallelograms with four congruent angles. How many of the parallelograms fall into the category A B?
2 answers:
Answer:
U ={ Parallelograms}
A= { Parallelogram with four congruent sides}={ Rhombus,Square}
B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}
So, AB= { Square}
So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.
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We have been given two expressions . We are asked to find the value of each.
To find 9P9, we will use permutations formula.
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P = Number of permutations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.
Using
To find 9C9, we will use combinations formula.
, where
C = Number of combinations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.
Using
Cancelling out , we will get:
The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.