Answer:
the probability that the rack ends up in alphabetical order is 0.0001984
Step-by-step explanation:
Given that:
You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.
Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.
From above; all possible permutations of size 7 we can derive from 24 is
24P7
Similarly,we are meant to estimate all the possible ways a unique set of 7 things can be gotten from a total of 24
i.e
24 C7
∴
The probability = ![\dfrac{^{24}{C}_7}{^{24}{P}_7}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E%7B24%7D%7BC%7D_7%7D%7B%5E%7B24%7D%7BP%7D_7%7D)
= ![\dfrac{\dfrac{24!}{7!(24-7)!} }{ \dfrac{24!}{(24-7)!} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B24%21%7D%7B7%21%2824-7%29%21%7D%20%20%7D%7B%20%5Cdfrac%7B24%21%7D%7B%2824-7%29%21%7D%20%7D)
=![\dfrac{\dfrac{24!}{7!(17)!} }{ \dfrac{24!}{(17)!} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B24%21%7D%7B7%21%2817%29%21%7D%20%20%7D%7B%20%5Cdfrac%7B24%21%7D%7B%2817%29%21%7D%20%7D)
= ![\dfrac{346104}{ 1.74436416 \times 10^9}](https://tex.z-dn.net/?f=%5Cdfrac%7B346104%7D%7B%201.74436416%20%5Ctimes%2010%5E9%7D)
= 0.0001984
the probability that the rack ends up in alphabetical order is 0.0001984
Forty five thousand nine hundred twenty
It is the indeed process of formation. You see you must first drop the em and so on.
The answer to this equation is C, 2925 mm^2 and 29.25 cm^2.