The ways to select the candidates from the total is 1716
<h3>How to determine the ways of selection?</h3>
From the question, we have
- Total number of candidate, n = 13
- Numbers to selection, r = 6 i.e. the president, a treasurer, a secretary, and three other committee members
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 13 and r = 6
Substitute the known values in the above equation
Total = ¹³C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 13!/7!6!
Evaluate
Total = 1716
Hence, the number of ways is 1716
Read more about combination at
brainly.com/question/11732255
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Answer:
x+3 is not a factor
Step-by-step explanation:
A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.
x+3 is not a factor of the expression.
_____
You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.
3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)
= 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0
The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.