The total number of ways the study can be selected is: 637065
Given,
Total number of women in a group= 13
Total number of men in a group = 12
Number of women chosen = 8
Number of men chosen = 8
∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.
This in the form of combination factor = nCr
∴ nCr = n!/(n₋r)! r!
13C₈ = 13!/(13 ₋ 8)! 8!
= 13!/5!.8!
= 1287
12C₈ = 12!/(12₋8)! 8!
= 12!/5! 8!
= 495
Now multiply both the combinations of men and women
= 1287 × 495
= 637065
Hence the total number of ways the study group is selected is 637065
Learn more about "Permutations and Combinations" here-
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If given the slope and y-intercept, you can directly get the slope intercept form as
y = -12x + 3
Answer:
147.33
Step-by-step explanation:
mupitply 26*17 and then dived my 3
Answer:
x=5
Step-by-step explanation:
19x and its vertical angle are equal. Lets call that angle y
<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.
<y + 17x=180
We know that y and 19x are equal since they are vertical angles, so we can substitute this in.
19x+ 17x = 180
Combine like terms.
36x = 180
Divide each side by 36
36x/36 = 180/36
x = 5
In order to be perpendicular, you must have a slope that is the opposite reciprocal, so the slope should by -3/4. So the equation could be y = -3/4x with any other number at the end.
