Question & Answer: C++ Program C(n, k) can be rewritten as n(n – 1)(n – 2)…(n – k + 1)/k!. Implement a program that computes C(n, k) based o…..

C++ Program C(n,k) can be rewritten as n(n-1)(n- 2)...(n-k+1)/k!. Implement a program that computes C(n,k) based on this formula, using ints. Hint: the numerator is obviously an iteration, but what is the iteration variable?). Repeat the questions from above. Use property (P2) (P2) C(n,k)- C(n,n-k)to make your solution to 3 more efficient (in some cases) algorithms that require only integer arithmetic, though we do not have enough C knowledge yet to implement these. If you wish to learn more, you can look up dynamic programming algorithms (and

C++ Program C(n, k) can be rewritten as n(n – 1)(n – 2)…(n – k + 1)/k!. Implement a program that computes C(n, k) based on this formula, using ints.

Expert Answer

 

#include <iostream>

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using namespace std;

int fact(int);

int main() {

int numerator,n,k,denumerator;

float nck;

numerator=1;

cout<<“n=?”;

cin>>n;

cout<<“k=?”;

cin>>k;

for(int i=n;i>=(n-k+1);i–)

{

numerator *=i;

}

denumerator=fact(k);

nck=numerator/denumerator;

cout<<“nresult is “<<nck;

}

int fact(int x)

{

if(x==1)

return 1;

else if(x==2)

return 2;

else return x*fact(x-1);

}

Question & Answer: C++ Program C(n, k) can be rewritten as n(n - 1)(n - 2)...(n - k + 1)/k!. Implement a program that computes C(n, k) based o..... 1

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