A lottery game consists of drawing five distinct whole numbers from the numbers 1 through 61 in any order. Then one more number from the numbers 1 through 24 is selected to form the final lottery number (this last number could be the same as one of the five numbers from the first draw). If you match all six numbers, you win the jackpot, which is worth at least $40 million. (a) In how many ways can you select groups of five distinct whole numbers between 1 and 61 where order does not matter?

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