Kombinatorik Flashcards

1
Q

“Anordnungsproblem”

A

Permutation

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2
Q

“Auswahlproblem” mit Reihenfolge

A

Variation

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3
Q

“Auswahlproblem” ohne Reihenfolge

A

Kombination

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4
Q

Permutation ohne Wiederholung

A

P(n)=n!

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5
Q

n!

A

Permutation ohne Wiederholung

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6
Q

Permutation mit Wiederholung

A

P^w(n; q; p; r;…)=n!/p!q!r!*…

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7
Q

n!/p!q!r!*…

A

Permutation mit Wiederholung

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8
Q

Variation ohne Wiederholung

A

V(n, r)=n!/(n-r)!

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9
Q

n!/(n-r)!

A

Variation ohne Wiederholung

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10
Q

Variation mit Wiederholung

A

V^w(n, r)=n^r

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11
Q

n^r

A

Variation mit Wiederholung

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12
Q

Kombination ohne Wiederholung

A

K(n, r)=n!/((n-r)!*r!)=(n über r)

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13
Q

n!/((n-r)!*r!)=(n über r)

A

Kombination ohne Wiederholung

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14
Q

Kombination mit Wiederholung

A

K^w(n, r)=(n+r-1)!/(r!(n-1)!)=(n+r-1 über r)

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15
Q

(n+r-1)!/(r!(n-1)!)=(n+r-1 über r)

A

Kombination mit Wiederholung

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16
Q

n über r

A

n!/(r!(n-r)!)