2. Write a Program to implement Binomial Coefficient and test the program with n = 6, k = 5. Give output for all the values starting from k = 0 to 5, and n = 0 to 6. Construct this table by hand as well, to verify your result from the code. The Binomial coefficient computation can be done in the following way: Construct a two dimensional array C(I, J) by setting the following recurrence relation including the initial conditions: C(1, 0) = 1, for all I = 0 to n C(I, I) = 1 Use a loop For I = 1 to n For J = 1 to k IfJ

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2. Write a Program to implement Binomial Coefficient and test the program with n = 6,
k=5. Give output for all the values starting from k = 0 to 5, and n = 0 to 6.
Construct this table by hand as well, to verify your result from the code.
The Binomial coefficient computation can be done in the following way:
Construct a two dimensional array C(I, J) by setting the following recurrence relation
including the initial conditions:
C(1,0) = 1, for all I = 0 to n
C(I, I) = 1
Use a loop
For I = 1 to n
For J = 1 to k
If J<I-1
C(I, J) = C(I-1, J-1) + C(I-1, J)
End of J loop
End of I loop
Print C(I, J) for I = 0 to n, and J = 0 to k
In your code, k and n are user inputs.
Transcribed Image Text:2. Write a Program to implement Binomial Coefficient and test the program with n = 6, k=5. Give output for all the values starting from k = 0 to 5, and n = 0 to 6. Construct this table by hand as well, to verify your result from the code. The Binomial coefficient computation can be done in the following way: Construct a two dimensional array C(I, J) by setting the following recurrence relation including the initial conditions: C(1,0) = 1, for all I = 0 to n C(I, I) = 1 Use a loop For I = 1 to n For J = 1 to k If J<I-1 C(I, J) = C(I-1, J-1) + C(I-1, J) End of J loop End of I loop Print C(I, J) for I = 0 to n, and J = 0 to k In your code, k and n are user inputs.
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