Answer:
A committee of 3 members for the education board is to be selected from a pool of 6 prospective candidates – C, D, E, F, G, and H. Candidates C, D and E are male and the rest are females. At least, one of the selected candidates should have a minimum of 10 years cognate experience in the education sector. The committee should have at least one male and a female candidate. Each of the committee members should have studied a different course for a bachelor’s degree.
Which committee would most likely be selected?
There are 8008 groups in total, in other to drive the children
<h3>How to determine the number of groups?</h3>
From the question, we have
- Total number of children, n = 16
- Numbers to children at once, r = 6
The number of group of children that could be carried at once is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 16 and r = 6
Substitute the known values in the above equation
Total = ¹⁶C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 16!/10!6!
Evaluate
Total = 8008
Hence, the number of groups is 8008
Read more about combination at
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Answer: We need a picture or a description of how we need to find the value ok k.
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
-3 (x + 4) - 2 = -2 (x - 5)
-3x - 12 - 2 = -2x + 10
-3x + 2x = 10 + 12 + 2
-x = 24
x = -24
Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
