Answer:
The answer is "experiment."
Explanation:
When it comes to finding out whether a new reading program can increase reading comprehension, an experiment is important. <em>This procedure is being used in order to validate a hypothesis, particularly in a research study.</em> In the situation above, you have to validate whether a new reading program can increase the reading comprehension or not.
The experiment consists of the <em>independent, dependent and controlled variables.</em> The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.
The<u> dependent variable above is the reading comprehension, </u>while the <u>new reading program is the independent variable. </u>Examples of controlled variables are the<u> age</u>s of the participants. The age directly affects the reading comprehension, thus it has to be considered.
2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216
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.