brianlaw

Everytime, the total number of players is divided by 4

1024 = 4^5 

Answer 5 games

A) Let's say the number on the first die is X, the second one has 1/6 of getting X

B) Let's say the first number is Y, the second has 5/6 chance of not getting Y

C) Casework

   1) 1st number is 6 second is 1, 2, 3, 4, 5 chance 1/6 times 5/6 = 5/36

   2) 1st number is 5 second is 1, 2, 3, 4 chance 1/6 times 4/6 = 4/36

   3) 1st number is 4 second is 1, 2, 3 chance 1/6 times 3/6 = 3/36

   4) 1st number is 3 second is 1, 2 chance 1/6 times 2/6 = 2/36

   5) 1st number is 2 second is 1 chance 1/6 times 1/6 = 1/36

Add them up = 15/36 = 5/12

We know that the side is then 4 units

Using the pythagoreon theorem,

we know A^2 + B^2 = C^2

Then the answer is 4 squared = 16

16 units

Wait, really? Im sorry

Nevermind, i solved it, you don't have to answer

There is total 10 * 10 dominos total

There is a total of 10 dominos that have the same integer on both sides

Therefore the answer is 10/100 =

1/10

Thank you very much

Using the 30-60-90 right triangle theorum,

the hypothenuse is 5 sqrt(5) 

BC is the 5 sqrt(5) / 2

AC is then 5 sqrt(15) / 2

add them up and you get 

15 sqrt(5) / 2 + 5 sqrt(15) / 2

A) Consider that each grade is one unit so 

4! = 24 ways

B) Consider freshman, sophomores, and juniors as one unit, but keep don't consider the seniors seperate

then it would be 5! = 120

A) 24 ways

B) 120 ways

100 - 30 = 70

70 - 20 = 50

50 - 10 = 40