The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
Answer:
Hypothesis

P-value = 0.078
Conclusion: The null hypothesis is rejected. There is enough evidence to claim that the proportion of foreigners home buyers is different from 26%.
Step-by-step explanation:
We will perform a hypothesis test on a proportion.
The null hypothesis states that 26% of home buyers are foreigners.
The alternative hypothesis states that the proportion is different than 26%.

The significance level is α=0.10.
The sample proportion is:

The standard error is:

Then, we can calculate the z-statistic as:

The P-value can be calculated as:

The P-value is smaller than the significance level, so the effect is significant.
The null hypothesis is rejected. There is enough evidence to claim that the proportion of foreigners home buyers is different from 26%.
Answer:
its 3
Step-by-step explanation:
It is only one line because a<span> set of points is collinear if they lie on a single straight line. This is very common to be applied in mathematics</span>
Answer:
Step-by-step explanation:
7+7x