given with a positive integer value let’s say ‘val’ and the task is to print the value of binomial coefficient b(n, k) where, n and k be any value between 0 to val and hence display the result.
What is Binomial Coefficient
Binomial coefficient (n, k) is the order of choosing ‘k’ results from the given ‘n’ possibilities. The value of binomial coefficient of positive n and k is given by
$$C_k^n=rac{n!}{(n-k)!k!}$$
where, n >= k
Example
的中文翻译为：
示例
Input-: B(9,2)Output-:
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$$B_2^9=rac{9!}{(9-2)!2!}$$
$$rac{9imes 8imes 7imes 6imes 5imes 4imes 3imes 2imes 1}{6imes 5imes 4imes 3imes 2imes 1)imes 2imes 1}=rac{362,880}{1440}=252$$
What is Binomial Coefficient Table
The Binomial Coefficient Table is formed for calculating the multiple values that can be generated between n and k.
Example
的中文翻译为：
示例
Input-: value = 5Output-:
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Approach used in the below program is as follows −
Input the variable ‘val’ from the user for generating the tableStart the loop from 0 to ‘val’ because the value of binomial coefficient will lie between 0 to ‘val’
Apply the formula given, if n and k is not 0
B(m, x) = B(m, x – 1) * (m – x + 1) / x
Print the result
Algorithm
STARTStep 1-> declare function for binomial coefficient table int bin_table(int val) Loop For int i = 0 and iStep 2-> In main() Declare int value = 5 call bin_table(value)STOP
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Example
的中文翻译为：
示例
#include // Function for binomial coefficient tableint bin_table(int val) { for (int i = 0; i "); }}int main() { int value = 5; bin_table(value); return 0;}
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输出
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