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Perform the following tasks for an array called table: a) Declare and create the array as an integer array that has three rows and three columns. Assume that the constant ARRAY_SIZE has been declared to be 3 . b) How many elements does the array contain? c) Use a for statement to initialize each element of the array to the sum of its indices. Assume that the integer variables \(x\) and \(y\) are declared as control variables.

(Duplicate Elimination) Use a one-dimensional array to solve the following problem: Write an application that inputs five numbers, each between 10 and 100 , inclusive. As cach number is read, display it only if it is not a duplicate of a number already read. Provide for the "worst case," in which all five numbers are different. Use the smallest possible array to solve this problem. Display the complete set of unique values input after the user enters each new value.

(Dice Rolling) Write an application to simulate the rolling of two dice. The application should use an object of class Random once to roll the first die and again to roll the second die. The sum of the two values should then be calculated. Each dic can show an integer value from 1 to \(6,\) so the sum of the values will vary from 2 to \(12,\) with 7 being the most frequent \(\operatorname{sum},\) and 2 and 12 the least frequent. Figure 7.30 shows the 36 possible combinations of the two dice. Your application should roll the dice 36,000 times. Use a one-dimensional array to tally the number of times each possible sum appears. Display the results in tabular format. Determine whether the totals are reasonable (c.g., there are six ways to roll a \(7,\) so approximately one-sixth of the rolls should be 7 ).