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.
Decimal division is super easy, let me show you how.
First, let's remove the decimal from both numbers. We have <em>184 </em>and <em>340</em>. Now let's multiply those two numbers.
184*340 = 62560.
Now, we need to figure out how many decimal places are in the original decimals. 18.<u>4</u> has one decimal place, and 3.<u>4</u> has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)
Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.
If there's only two decimal places in 62560, it would look like this: 62.<u>56</u> (<em>Remember, zeros at the end of a decimal does not count as a decimal place!)</em>
There's your final answer. 62.56.
Hope this explanation helped you out. :)
Answer:
she can buy 7 tickets
Step-by-step explanation:
Brainliest plz
Answer:
Option C
Step-by-step explanation:
Option D's unit is not used in volume measurement. A "ton" is 2,000 lbs. Pounds are not used to measure volume.
Since we are looking at the volume of a "large tank", then a quart and a pint would be too small, and therefore, not the most appropriate units to measure the volume of the tank with.
A "kiloliter" is equivalent to 1,000 liters. Note that the prefix "Kilo-" means 1,000. A kiloliter would be appropriate for measuring the volume of a large object, in this case a oil tank. It is the most appropriate out of the options given.
Option C should be the correct answer.