week 3 Flashcards

1
Q

n!

A

n factorial
n x (n-1)!
eg 4! = 4x3x2x1

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2
Q

0!

A

1

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3
Q

1!

A

1

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4
Q

2!

A

2

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5
Q

3!

A

6

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6
Q

4!

A

24

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7
Q

5!

A

120

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8
Q

circular permutations
number of ways n objects can be arranged around a circle

A

(n-1)!

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9
Q

(n k)

A

number of ways to select k objects from a set of n objects

= n!/k!(n-k)!

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10
Q

(0 0)

A

1

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11
Q

(1 0)

A

1

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12
Q

(1 1)

A

1

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13
Q

(2 0)

A

1

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14
Q

(2 1)

A

2

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15
Q

(2 2)

A

1

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16
Q

(3 0)

17
Q

(3 1)

18
Q

(3 2)

19
Q

(3 3)

20
Q

(4 0)

21
Q

(4 1)

22
Q

(4 2)

23
Q

(4 3)

24
Q

(4 4)

25
(n 0)
1 there is 1 way to choose 0 objects ( don't choose any)
26
(n 1)
n there are n ways to choose 1 object
27
(n n)
1 there is 1 way to choose n objects ( choose all of them)
28
(n k)
(n n-k) eg (5 2) = (5 5-2) (5 3)
29
selecting k objects from a set of n objects and arranging around the k objects
n!/ (n-k)!
30
selecting k objects from a set of n objects and arranging around the k objects in a circle
1/k n!/k(n-k)!