5. Jersey-Cash-5 is a New Jersey Lottery that "benefits education and institutions". In this lottery, a game is played by picking 5 distinct numbers out of numbers 1 to 40 Compute the number of ways and the probability of winning each of the following prizes. Show the combinatorial derivation. Use a calculator to perform the final step in the computation. Express the final result as a ratio 1/x where the denomintor r is rounded to the nearest integer. (a) Jackpot: Match 5 out of 5 (b) Second Prize: Match 4 out of 5. (You win $500.) (c) Third Prize: Match 3 out of 5. (You win $11.)