Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
Answer: 35 days
Step-by-step explanation:
Add like terms first
-7x - 3x = -10x
so we have -10x + 2 = -8x - 8
-> 2 = 2x - 8 [added 10x to both sides]
-> 10 = 2x [added 8 to both sides]
-> x = 5 [divided both sides by 2
therefore the answer is x = 5
Answer: 5 valid arrangements
Step-by-step explanation:
This depends on whether the boys or girls swapping places are considered unique solutions. I'm going to assume that is no, because there would be an unrealistic amount of solutions if it is true.
Assuming G = girl and B = boy, these are the possible arrangements.
(I will bold the valid solutions).
GGBBBB
GBGBBB
GBBGBB
GBBBGB
GBBBBG
BGGBBB
BGBGBB
BGBBGB
BGBBBG
BBGGBB
BBGBBG
BBBGGB
BBBBGG
Thus, there are 5 valid arrangements.
Hope it helps <3
