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solution03 - n-tuple of 0’s and 1’s where a 1 in the i...

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Solution 03 4. 37 Presidents have died. The probability that no two people from a group of 37 (all of whom are dead) died on the same day is 365 × 364 × · · · × 329 365 37 = . 15 . Thus, the probability that at least two died on the same day is .85. Yes; Jefferson, Adams, and Monroe (all signers of the Declaration of Independence) died on July 4. 8. Each subset S corresponds to a unique
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Unformatted text preview: n-tuple of 0’s and 1’s, where a 1 in the i ’th location means that i is an element of S . Since each location has two possibilities, there are 2 n r-tuples, and hence there are 2 n subsets. 12. (a) 30 · 15 · 9 = 4050. (b) 4050 · 3! = 24300. (c) 54 · 53 · 52 = 148824. 20. Run the professor’s code in Matlab. 1...
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