Question: 14. Using the digits 1, 2, 3, 4, 5, and 6, with no repetitions, we write all six-digit numbers in order, from least to greatest.

14. Using the digits 1, 2, 3, 4, 5, and 6, with no repetitions, we write all six-digit numbers in order, from least to greatest. Which number is the 500th on the list?

15. A standard 52-card deck consists of 13 denominations (the numbers from 2 to 10, Jack, Queen, King, Ace) and four suits (hearts, diamonds, spades, clubs).

a) How many hands are there of four of a kind? (That is, four cards of the same

denomination, plus one additional card.)

b) How many hands are there of a flush? (That is, five cards of the same suit.)

c) How many hands are there of two pairs? (That is, two cards of one denomination, plus

two cards of a second denomination, plus one card of a third denomination.)

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