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Math Challenge lll Winter 2023-2024 Combinatorics

 
 
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Math Challenge lll Winter 2023-2024 Combinatorics
by Bella Xiao - Friday, 12 January 2024, 7:44 AM
 

Hello, I need some help on problem 3.12 3.15 3.19 and 3.20  

Thanks 

 
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Re: Math Challenge lll Winter 2023-2024 Combinatorics
by Xilong Lin - Friday, 12 January 2024, 10:03 PM
 
Can you post the whole question? Because I don't know what problems they are.
 
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Picture of Bella Xiao
Re: Math Challenge lll Winter 2023-2024 Combinatorics
by Bella Xiao - Saturday, 13 January 2024, 3:52 AM
 


For problem 3.17, I know the sum is 2*(\( \binom {2n+1} {2} \) + 2^3*\( \binom {2n+1} {4} \)+...+2^(2n-1) * \( \binom {2n+1} {2n} \).  But I don't know what to do next

 
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