Cards

How many ways can give away 32 playing cards to 7 player?

Correct answer:

x =  2760681

Step-by-step explanation:

$$\begin{gathered} k=32;n=7 \\ x=C_{32}^{\mathrm{\prime }}(7)=C_{32}(7+32-1)=C_{32}(38)=\left({\displaystyle \genfrac{}{}{0px}{}{38}{32}}\right)={\displaystyle \frac{38!}{32!(38-32)!}}={\displaystyle \frac{38\cdot 37\cdot 36\cdot 35\cdot 34\cdot 33}{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}}=2760681 \end{gathered}$$

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Showing 1 comment:

Anand

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

2 years ago  2 Likes Like

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