of the class consists of freshmen.
Step-by-step explanation:
Given,
Total number of students = 40
Number of freshmen = 18
Number of sophomores = 19
Number of juniors = 3
Fraction of freshmen = 
Fraction of freshmen = 
Fraction of freshmen =
of the class consists of freshmen.
Keywords: fraction, division
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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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Answer:
10 weeks
Step-by-step explanation: 100÷10=10
big brain
5x+3(x-2)=90
5x+3x-6=90
8x-6=90
+6 +6
8x=96
\8 \8
X=12
