PERMUTATIONS & COMBINATIONS

They help in arranging objects in a specific order only.

They reduce the need for actual experimentation.

They only apply to mathematical problems.

They simplify complex problems.

There is no significant difference.

Permutations require division, combinations do not.

Combinations consider order, permutations do not.

Permutations consider order, combinations do not.

It's an exception in mathematics.

It represents an empty product.

It's the result of any number divided by itself.

It's defined as the sum of all positive integers up to 0.

120

5

60

24

The number of options being used

The difference between options available and used

The factorial of options

The total number of options available

8 factorial only

8 factorial divided by (8 minus 4) factorial

8 factorial divided by 4 factorial

8 factorial divided by 4

1680

24

120

70

24

70

120

1680

By dividing by r factorial

By adding r factorial

By subtracting r factorial

By multiplying with r factorial

(n-r) factorial

n minus r

r factorial

n factorial