Equation of the circle:
(5)^2 = (x-2)^2 + (y-3)^2
see if any points work in the equation.
25 = (6-2)^2 + (0-3)^2
25 = 16 + 9
point (6,0) is on the circle
Using the combination formula, it is found that:
There are 364 different orders of top-three finishers that include all seniors.
The probability that the top-three finishers will all be seniors is 15.38%.
The order in which the players are taken is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In total, three students are taken from a set of 14, hence:
Including only seniors, it would be three students from a set of 8, hence:
Hence the probability is given by:
p = 56/364 = 0.1538 = 15.38%.
More can be learned about the combination formula at brainly.com/question/25821700
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