1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

11

1

1

1

1

1

1

1

1

1

1

11

1

1

1

1

1

1

1

1

111

1

1

1

52! = 80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

11

1

1

11

1

11

1

1

11

1

1

1

1

11

11

4! = 24

1

11

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

11

1

1

1

1

11

11

1

1

1

11

11

1

1

1

1

11

1

1

1

1

1

1

1

1

1

1

1

1

1

11

1

1

1

1

1

1

1

1

1

1

1

1

111

1

11

1

11

1

1

1

1

1

1

1

1

11

1

1

1

11

1

11

1

11

11

1

111

111

11

1

11

11

1

1

1

11

1

1

1

1

1

111

1

1

11

1

1

1

1

1

11

1

11

11

1

1

11

1

1

1

11111

1

11

11

1

1

1

11

1

11

11

11

111

1

1

1

1

11

1

1

1

5!=120

1

1

1

1

1

11

1

1

1

1

1

1

1

1

11

1

1

1

1

1

1

11

11

1

11

1

1

n!=nXn(-1)Xn(-2)...

11

111

1

1

1

1

1

1

1

1

1

1

11

1

1

1

1

1

1

1

1

11

11

1

11

1

1

1

1

11

1

11

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

11

1

1

1

1

1

1

11

1

1

11

6!=720

1

1

11

1

1

1

11

1

1

11

1

11

1

1

11

11

1

1

11

1

1

11

1

1

11

1

1

1

11

1

1

1

1

1

1

1

1

1

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11

1

1

1

1

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11

1

11

1

11

11

1

1

1

1

1

1

1

11

111

1

11

1

11

1

111

1

11

1

1

1

1

1

11

1

1

1

1

1

1

1

11

1

1

11

1

1

1

1

1

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11

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1

1

1

..

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

..

..

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..

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..

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3

33

333

3

333

3

33

3

3

33

3

3

3

11

1

1

1

11

1

1

1

,

,,

,

,

,

,

,

,

,

,

,

,,,

,1 q q

Q

Q

Q

Siddharth20112014