[Cse321] PS5 - some clarifications

From: Venkatesan Guruswami (venkat@cs.washington.edu)
Date: Wed May 12 2004 - 18:40:15 PDT

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    Here are some clarifications on some of the couting problems on problem
    set 5.
    
    1(b) : Necklaces are round and not a linear string. And you have to use
    ALL n beads in the necklace.
    
    1(c): There was some confusion on what distinct truth tables meant. An
    equivalent way to think of this question is to think of how many
    distinct Boolean functions exist on n variables x_1,x_2,..,x_n.
    
    1(d): A hand with no diamonds and no hearts obviously counts as a hand
    that has an equal number of diamonds and hearts, so don't forget to
    count those!
    
    1(e): Firstly, the either-or is an inclusive OR (as we will always
    intend in this class). That is, a string that has both 5 consecutive 0's
    and 5 consecutive 1's must be counted. Secondly, strings that have more
    than 5 consecutive 0's (or 1's) must also be counted.
    
    -- Venkat
    
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