Since the order of elements doesn't matter, we use the formula for combination as follows.

So the number of ways to choose 2 elements from a set of 4 elements would be

Thus the answer is 6.
1 : 3 : 6
longest piece is 2.5 longer than the shortest piece.
let x be the shortest piece.
x + 2.5 is the longest piece
x/10 + 3/10 + (x+2.5)/10 = 1
x + 3 + x + 2.5 / 10 = 1
2x + 5.5 = 10
2x = 10 - 5.5
2x = 4.5
x = 4.5/2
x = 2.25 shortest piece.
x + 2.5 = 2.25 + 2.5 = 4.75 longest piece.
ratio of the 2nd piece to the 3rd piece is 3:6
2nd piece is half of the 3rd piece
4.75 x 1/2 = 2.375
1 : 3 : 6
2.25 : 2.375 : 4.75
Answer:
A
Step-by-step explanation:
The mean/average is the sum of all the numbers divided by the number of numbers.
It is given that mean is 4.5 points. <em>At this point, it means that there might be students scoring less than 4.5 and students scoring greater than 4.5 BUT the average comes to be 4.5</em>.
BUT SINCE IT IS GIVEN THAT EACH STUDENT SCORED THE SAME, the only way that this can be true is when EVERY STUDENT SCORES 4.5. This way, the AVERAGE/MEAN will be 4.5
Hence, the correct answer is A.
Answer:

Step-by-step explanation:
Consecutive integers are defined by integers that follow each other. Therefore, we can set up the following equation:
Let
be the smallest integer, as denoted in the question.

Therefore, the three integers are
.
Yes, a quadrilateral can be a square, which has a right angle also.