Binomial Coefficient Calculator

This Java program calculates and prints a term from the binomial expansion using user-provided values for the binomial coefficients and powers. It takes four inputs: two numbers for the binomial coefficient, and two powers, then computes and displays the specified term.

Author: Priyanshu-2811

Bino.java

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+import java.util.Scanner;
+
+class Bino {
+    int p, m, e, w;
+    int comb;
+    Scanner sc = new Scanner(System.in);
+
+    Bino() {
+        p = 0;
+        m = 0;
+    }
+
+    void input() {
+        System.out.println("Enter the first number (p): ");
+        p = sc.nextInt();
+        System.out.println("Enter the second number (m): ");
+        m = sc.nextInt();
+        System.out.println("Enter the highest power (w): ");
+        w = sc.nextInt();
+        System.out.println("Enter the lowest power (e): ");
+        e = sc.nextInt();
+    }
+
+    int fact(int x) {
+        int s = 1;
+        for (int i = 1; i <= x; i++) {
+            s = s * i;
+        }
+        return s;
+    }
+
+    int compute() {
+        int a = fact(p);
+        int b = fact(m);
+        int k = fact(p - m);
+        comb = a / (b * k);
+        return comb;
+    }
+
+    void bmial() {
+        int d = compute();
+        System.out.print(d + " * " + Math.pow(p, w) + " * " + Math.pow(m, e));
+        w--;
+        e++;
+    }
+
+    public static void main(String[] args) {
+        Bino ob = new Bino();
+        ob.input();
+        ob.bmial();
+    }
+}