How can you use a table to write an equation?

at a meal, cup for drinks a book map writing etc on it

You can use a table to write linear equations.

For example, lets have a table:

x    y

4    36

6   56

9   86

In the x table, we can see that 4 and 6 are 2 numbers apart, and 6 and 9 are 3 numbers apart.

In the y table we can see that 36 and 56 are 20 numbers apart, and 56 and 86 are 30 numbers apart.

In this example, we can write a slope. y = mx + b

Tables are helpful because they show you evidence on where you can plot your graphs with y = mx + b

First, if we have a set of K elements, such that are ordered as:

{x₁, x₂, ...}

The total number of permutations for the K elements can be found in the next way.

For the first element in the set, we have K options.

For the second element in the set, we have (K - 1) options (because we already choose one)

For the third element we have (K - 2) options, and so on.

The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:

permutations = K*(K - 1)*(K - 2)*....*2*1 = K!

Now suppose that we have a set of N elements, and we want to make groups of K elements.

The total number of different combinations of K elements is given by the equation:

In this case we have 15 objects (then  N = 15) and we take 7 at the time (Then K = 7)

Where we need to take in account the number of combinations and also the permutations for each combination.

Then the total number of different sets is:

C(15*7)*7!

First, the total number of combinations will be:

So we have 6,436 combinations, and each one of these combinations has 7! permutations.

permutations = 7! = 7*6*5*4*3*2*1 = 5,040

if we combine these we get:

Combinations*Permutations = 6,435*5,040 = 32,432,400