Answer:
A) N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B)N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
Step-by-step explanation:
A) the number of ways a 3-person subcommittee be selected from a committee of 6 people N;
Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.
N = nCr
N = 6C3
N = 6!/3!(6-3)! = 6!/3!3!
N = 720/(6×6)
N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 people N;
In this case, there is a given order of selection for the 3 posts. This is a permutation.
N = nPr
N = 6P3
N = 6!/(6-3)!
N = 6!/3!
N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
The slope is three over one and the y intercept is nine
Answer:
B. 11.85% = 12%
Step-by-step explanation:
500 * .10 + 300 * .15 = 50 + 45 = 95.
95/800 = .11875
.11875 = 11.875%
The identification of parts A,B andC is illustrated below with their various reasons given.
<h3>What is an equilateral triangle?</h3>
An equilateral triangle is the triangle that has all its sides equal in length and each angle is made up of angle 60°.
Part A = The similar triangle are RGE and PBE
Part B = The triangles selected are similar because it was formed by an interception of the parallel lines of the rectangle GCPR.
Part C= All the sides of the equilateral triangle are the same therefore the distance from B to E and from P to E is the same with BP which is 225ft.
Learn more about triangles here:
brainly.com/question/2217700
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