UNIT 3 PART 1 Flashcards

1
Q

Combinatorics

A

solve counting probz, dont need to list all cases
pnc
choosing and arranging from finite sets

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2
Q

Basics of counting

A

sum+product

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3
Q

sum rule

A

t1 -> m
t2 -> n
mutually exclusive
one of task -> m + n

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4
Q

card deets

A

52

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5
Q

indist vs dist

A

idinst -> 2 6 and 6 2 same

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6
Q

product rule

A

t1 after t2

both ->m*n

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7
Q

permutations

A

nPr
ordered arrangement of r elements of set n
n!/n-r!
repition -> n!/n1!n2!…(alike )

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8
Q

circulat table permutations

A

n-1!

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9
Q

combinations

A

nCr
selection
n!/r!(n-r)!

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10
Q

r permutations unlim rep

A

n^r

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11
Q

r combinations unlim rep

A

n-1+rCn-1 = n-1+rCr

integral, identical ball box, binary num zero

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12
Q

n permutations const rep

A

n!/n1!n2!…

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13
Q

all combinations

A

1

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14
Q

all permutations

A

n!

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