How many functions are there from a set with three elements to a set with five elements? Imagine creating a function from a 3-element set S to another set T as a three-step process. Step 1 sends the first element of S to an element in T; Step 2 sends the second element of S to an element in T; Step 3 sends the third element of S to an element in T. By the ---Select--- rule, the number of ways to create a function is the ---Select--- of the number of ways to perform each of the three steps. So, the answer is . (b) How many functions are there from a set with six elements to a set with two elements? (c) How many functions are there from a set with m elements to a set with n elements, where m and n are positive integers?

Write a modular program (no classes yet, just from what you learned last year), that allows two players to play a game of tic-tac-toe. use a two-dimensional char array with 3 rows and 3 columns as the game board. each element of the array should be initialized with an asterisk (*). the program should display the initial board configuration and then start a loop that does the following: allow player 1 to select a location on the board for an x by entering a row and column number. then redisplay the board with an x replacing the * in the chosen location. if there is no winner yet and the board is not yet full, allow player 2 to select a location on the board for an o by entering a row and column number. then redisplay the board with an o replacing the * in the chosen location. the loop should continue until a player has won or a tie has occurred, then display a message indicating who won, or reporting that a tie occurred. player 1 wins when there are three xs in a row, a column, or a diagonal on the game board. player 2 wins when there are three ox in a row, a column, or a diagonal on the game board. a tie occurs when all of the locations on the board are full, but there is no winner. input validation: only allow legal moves to be entered. the row must be 1, 2, or 3. the column must be 1, 2 3. the (row, column) position entered must currently be empty (i. e., still have an asterisk in it).

Kirk found a local community college with a two-year program and he is comparing the cost with that of an out-of-state two-year school. what is the expected total cost for one year at the local community college if kirk lives at home? what is the expected total cost for one year at the out-of-state school if kirk lives on campus?

This graph compares the cost of room and board at educational institutions in texas.