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Irina18 [472]
3 years ago
13

What shape is a rectangle but is not a square

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

A quadrilateral is a rectangle

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A country has two political parties, the Reds and the Blues. The 100-member senate has 4444 Reds and 5656 Blues. Each party must
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Answer:

There are 5,827,360 different outcomes.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In each party:

The order in which the people are selected is important(first is chair, second vice chair), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

Reds:

Two from a set of 44. So

P_{(44,2)} = \frac{44!}{(44-2)!} = 44*43 = 1892

Blues:

Two from a set of 56. So

P_{(56,2)} = \frac{56!}{(56-2)!} = 56*55 = 3080

How many different outcomes are there for the chair and vice chair elections of both parties?

Considering both, by the fundamental counting principle:

1892*3080 = 5827360

There are 5,827,360 different outcomes.

7 0
3 years ago
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