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Hello!&nbspplease answer this &nbspWrite a program which contains

    Hello! please answer this : Write a program which contains a main() method and a method multiplyEvens() that returns the product of the first n even integers. (2pts)  For example:multiplyEvens(1) returns 2multiplyEvens(2) returns 8 (2 * 4)multiplyEvens(3) returns 48 (2 * 4 * 6)multiplyEvens(4) returns 384 (2 * 4 * 6 * 8)multiplyEvens(5) returns 3840 (2 * 4 * 6 * 8 * 10)Remark: You may NOT use a while loop, for loop or do/while loop to solve this problem; you MUST use  recursion. The method should check whether the argument is greater than 0.  public static int multiplyEvens(int n) { if (n < 1) { throw new IllegalArgumentException(); } else if (n == 1) { return 2; } else {  // Fill your recursive code here }  }[Extra Credit] Write recursive methods of the following problems and the associate test driver program. All of them are covered in class. Please refer to the class materials and lecture. (4pts)  (1) Factorial Number : Factorial (int n) : returns n! number. (1pt)  (2) Fibonacci : Fibonacci (int n) : returns n’th Fibonacci number. (1pt)  (3) PowerE : PowerE (int base, int exponent) : returns the based raised to that exponent, n. (1pt)  (4) PrintBinary : PrintBinary (int n) : returns corresponding binary number (String) of the decimal number n. (1pt)

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