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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.
Answer:
Give it a bit of time OK I will say the answer is in the *c'h_a-t
Let [a, b] = the interval
The average rate of change can be found by using [f(b) - f(a)]/(b - a).
Let a = 1 and b = 5.
Let R = rate of change
17- x^2
R = [17 - 5^2] - [17 - 1^2]/(5 - 1)
R = [17 - 25] -[17 - 1]/4
R = [(-8) - (16)]/4
R = (-24)/4
R = -6
Done.
Answer: B
Step-by-step explanation:
You have the same bases, so you can just focus on the exponents.
The difference between 5 and -1 is 6, therefore, the answer is B.
