Cards

How many ways can give away 32 playing cards to 5 player?

Result

x =  58905

Solution:

k=32;n=5  x=C32′(5)=C32(5+32−1)=C32(36)=(3632)=36!32!(36−32)!=36⋅35⋅34⋅334⋅3⋅2⋅1=58905k = 32; n = 5 \ \\ \ \\ x = C'_{32}( 5 ) = C_{32}( 5+32-1 ) = C_{{ 32}}(36) = \dbinom{ 36}{ 32} = \dfrac{ 36! }{ 32!(36-32)!} = \dfrac{ 36 \cdot 35 \cdot 34 \cdot 33 } { 4 \cdot 3 \cdot 2 \cdot 1 } = 58905

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Anand
why isn't it 324 since every card we can give to 4 people and every card is non identical ?

1 year ago  2 Likes
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