Combinatoria Flashcards

1
Q

m

n

A

m!/n!(m-n)!

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2
Q

Triángulo de tartaglia

A
  1. 1
    1. 2. 1
        1. 1
          1 4 6. 4 1
          1 5 10 10 5 1
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3
Q

m

0

A

m!/0!(m-0)!=1

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4
Q

m

1

A

m

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5
Q

m= m

n. m-n

A

Demostración
m. m!
n n!(m-n)!

m. m!
m-n. (m-n)!n!

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6
Q

m. +. m

n-1. n

A

m+1

n

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7
Q

Sumar los números de la fila suman dia elevado al número de la fila

A

m. m
£. n =2 elevado a m
n=0

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8
Q

Sumar y restar =0

A

£. (-1) elevado a n m =0

n

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9
Q

Variaciones sin repetición

A

E-si
O-si Vm,n= m!/(m-n)!
R-no

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10
Q

Variaciones con repetición

A

E-si
O-si. VRm,n= m elevado a n
R-si

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11
Q

Permutaciones

A

m=n
E-no
O-si Pn = n!
R-no

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12
Q

Combinaciones

A

m>=n
E-si
O-no Cm,n= m
R-no n

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