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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17 -12x - 18 - 5x=
-1 - 17x =
-1 = 17x
A(n)=4+4(n-1)
a(n)=4+4n-4
a(n)=4n
76=4n
n=19
The sum of any arithmetic sequence (series are infinite) is:
(a+a(n))(n/2)
The average of the first and last terms times the number of terms, in this case we found that n=19 so:
19(4+76)/2=760
We know that
[scale factor ]=[real]/[drawing]
[real]=[drawing]*[scale factor ]
step 1
find the real values
if the base of Riley's drawing is 10 centimeters
[real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cm
the base of the triangular clock face is 30 cm
the height of Riley's drawing is 15 centimeters
[real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cm
the height of the triangular clock face is 30 cm
the area of the triangular clock face is-----> 45*30/2-------> 675 cm²
the answer is the option C. 675 square centimeters