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Unformatted text preview: x + x-1 )(1 + x ) 26 ? 3. How many integers between 1000 and 9999 have distinct digits ? How many of these numbers are even ? How many of these numbers are odd ? 4. There are 16 books on a shelf. In how many ways can you choose 5 books such that the selection does not include any two neighboring books ? 5. How many words can be made from the letters of the word FLEECE ? 6. Bonus Question! You roll n identical dice. Show that there are exactly ( n +5 5 ) distinct outcomes. (For example, when n = 1, there are ( 1+5 5 ) = ( 6 5 ) = 6 outcomes. When n = 2, there are ( 2+5 5 ) = ( 7 5 ) = 21 outcomes)....
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- Fall '10