Please view the two images below and help me asap!!!!!!!!! for a brainlist ;))
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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:
Reds:
Two from a set of 44. So
Blues:
Two from a set of 56. So
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.
The key to solving this problem is drawing a rectangle outside the figure and subtracting the reas of the triangles formed from the are of the rectangle. You can look at the attched image if you want a visual.So first let's find the area of the rectangle, the length is 11 and the width is 5 so the area is 55. Now let's find the area of the trinagles. Triangle 1 has sides of 4 and 3 so the area is 6. Triangle 2 has sides of 5 and 5 so the area is 25/2. Triangle 3 has sides of 2 and 5 so the area is 5. Now let's add the area of the triangles up to get 47/2. Now let's subtract 47/2 from 55 to get the area of the figure which is *drumroll*...63/2. that's all.
