Answer:
<h2>a) 1.308*10¹² ways</h2><h2>b)
455 way</h2>
Step-by-step explanation:
If there are 15 balls labeled 1 through 15 in a standard football game, the order of arrangement of the 15 balls can be done in 15! ways.
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2
15! = 1.308*10¹² ways
b) If 3 of the 15 balls are to be chosen if order does not matter, this can be done in 15C3 number of ways. Since we are selecting some balls out of the total number of balls, we will use the concept of combination.
Using the combination formula nCr = n!/(n-r)!r!
15C3 = 15!/(15-3)!3!
15C3 = 15!/12!3!
15C3 = 15*14*13*12!/12!*6
15C3 = 15*14*13/6
15C3 = 455 ways
Answer: 
Step-by-step explanation:
Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.
In order to solve this exercise, it is importat to remember the following information:
1. The quotient is the result of a division.
2. The sum is the result of an addition.
3. The word "twice" indicates a multiplicatio by 2.
4. The word "cube" indicates an exponent 3.
Then, keeping on mind the explained above and the data given in the exercise, you know that:
-The sum of
and
can be expressed as:

- Twice the cube of
can be expressed in the following form:

Therefore, you can dermine that "the quotient of the sum of
and
and twice the cube of
" is represented with the following expression:

O
Answer:
The ration of the volume of cone to that of cylinder is
Step-by-step explanation:
From the question we are told that
The volume of a cone is mathematically represented as

The volume of a cylinder is mathematically represented as

Now the ratio we are to obtain is
Note: this is possible because the height and base
radius are the same
Answer:
Step-by-step explanation: The student divided the number of wins by the number of losses.
The student should have divided the number of wins by the total number of games.
The student should have first added 20 and 10 to find that there were a total of 30 games.