# hw5 - COT 3100 Homework 5 Due Monday November 28th 2011...

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COT 3100 – Homework 5 Due Monday, November 28th, 2011 A. (6.1-12) How many bit strings are there of length six or less, not counting the empty string? B. (6.1-16) How many strings are there of four lowercase letters that have the letter x in them? C. (6.1-44) How many ways are there to seat four of a group of ten people around a circular table where two seatings are considered the same when everyone has the same immediate left and imme- diate right neighbor? D. (6.2-4) A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at them a) How many balls must she select to be sure of having at least 3 balls of the same color? b) How many balls must she select to be sure of having at least 3 blue balls? E. (6.2-6) Let d be a positive integer. Show that among any group of d + 1 (not necessarily consec- utive) integers there are two with exactly the same remainder when they are divided by d . F.

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hw5 - COT 3100 Homework 5 Due Monday November 28th 2011...

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