1.
All Permutations

All Permutations
Gives you all the possible combinations for a given set the values.
Eg: Find the permutations for a,b,c,d then
Total number of permutations = 4! = 24
And all possible combinations are as follows...
1 = a b c d
2 = a b d c
3 = a c b d
4 = a c d b
5 = a d b c
6 = a d c b
7 = b a c d
8 = b a d c
9 = b c a d
10 = b c d a
11 = b d a c
12 = b d c a
13 = c a b d
14 = c a d b
15 = c b a d
16 = c b d a
17 = c d a b
18 = c d b a
19 = d a b c
20 = d a c b
21 = d b a c
22 = d b c a
23 = d c a b
24 = d c b a


2.
Magic Sqaure

Magic Square
means Sum of each Rows and each Columns and each Diagonal must be same
Sqaure Size: 5
Start With: 21
37 
44 
21 
28 
35 
43 
25 
27 
34 
36 
24 
26 
33 
40 
42 
30 
32 
39 
41 
23 
31 
38 
45 
22 
29 
All numbers used in this Magic Square is between 21 and 45
Sum of each Row and each Column and each Diagonal : 165



3.
Circular Matrix

Circular Matrix
Gives you the circular matrix for specified number of rows
Eg: number of rows = 5 then circular matrix is as follows...
1 
2 
3 
4 
5 
16 
17 
18 
19 
6 
15 
24 
25 
20 
7 
14 
23 
22 
21 
8 
13 
12 
11 
10 
9 


4.
FactorialPowers

1. X !  Gives you Factorial for any number.
For Eg: X = 5 then 5! = 120
2. X ^ Y  Gives you any powers for any number.
For Eg: X = 5 and Y = 5 then 5^5 = 3125
3. ( X ! ) ^ Y  Gives you factorialpower for any number.
For Eg: X = 5 and Y = 5 then (5!)^5 = (120)^5 = 24883200000




6.
Fibonacci Series

Fibonacci Series
Gives you the fibonacci series upto specified terms. Here each
term of fibonacci series is the addition of previous two terms.
Eg: find fibonacci series upto 15 terms then answer is
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610



7.
Pascal Triangle

Pascal Triangle
Gives you pascal triangles value for specified number of rows
Eg: number of rows = 10 then pascal triangle is as follows...
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1






