Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.
![D = C_{5,5}*C_{15,5} = \frac{5!}{5!(5-5)!}*\frac{15!}{5!(15-5)!} = 3003](https://tex.z-dn.net/?f=D%20%3D%20C_%7B5%2C5%7D%2AC_%7B15%2C5%7D%20%3D%20%5Cfrac%7B5%21%7D%7B5%21%285-5%29%21%7D%2A%5Cfrac%7B15%21%7D%7B5%21%2815-5%29%21%7D%20%3D%203003)
Totao outcomes:
10 engineers selected from a set of 20.
![T = C_{20,10} = \frac{20!}{10!(20-10)!} = 184756](https://tex.z-dn.net/?f=T%20%3D%20C_%7B20%2C10%7D%20%3D%20%5Cfrac%7B20%21%7D%7B10%21%2820-10%29%21%7D%20%3D%20184756)
Probability:
![p = \frac{D}{T} = \frac{3003}{184756} = 0.0163](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B3003%7D%7B184756%7D%20%3D%200.0163)
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Answer:
Mumbai and Kolkata are located opposite to each other. Haryana is located to opposite to Bangalore as related to Delhi.
Answer From Gauth Math
Assuming that :
- The number of the gallons is symbolized by g
- Time per minute is symbolized by t
the equation would be :
g = 10 + 7.5 t
Hope this helps