Answer:
The number of ways are 16! or 20,922,789,888,000.
Step-by-step explanation:
Consider the provided information.
We need to determine the number of different ways 16 numbered pool balls be placed in a line on the pool table.
For the first place we have 16 balls.
For the second place we have 15 balls left.
Similarly for the third place we have 14 balls as two balls are already arranged and so on.
Or we can say that this is the permutation of 16 things taking 16 at a time.
Thus the number of ways are: 
or 
Hence, the number of ways are 16! or 20,922,789,888,000.
There is a chance of 1/16*1/15 that she gets the specific socks pair according to laws of probability and the counting principle but thats not how it will work over here.
As we should be guaranteed that she gets the number of socks she obviously must take out around 9 socks as we are taking the worst case scenario where all the socks that come out are the different ones so the ninth sock must match any of the others.
But if we draw three socks obviously the probability is 1/16*1/15*13/14 as we dont want the third one to be same. We can multiply the answer by 3 as it can be in three different orders.
Answer:
7x+3=2x-6 #4
Step-by-step explanation:
Answer:
0.052 acre/min
Step-by-step explanation:
6 1/4 acres / 2 hours times the conversion factor (1 hr / 60 min) comes out to:
6.25
----------------- = 0.052 acre/min
2 (60 min)
---------
12 + 5x > 2(8x - 6) - 7x
12 + 5x > 16x - 12 - 7x
5x - 16x + 7x > -12 - 12
-4x > -24 / : (-4)
x < 6
