Express 3x4+2x3 - 2x2+x in terms of [x]4, [x]3, [x]2 and [x].
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Find the number of ways of tying up 7 different books into 4 bundles if the order of the books in the bundles does not matter.
Give examples of trivially true and vacuously true statements.
Make a table of the values of the Boolean function
f (x1;x2;x3) = x2(x1
x3)
Write the function in DNF using the table.
Let t(n) denote the number of ways in which 2n tennis players can be paired to play n matches. Determine a recurrence equation for the sequence t(n).
Write (x z)
(y
z') in CNF and DNF.
Give the order and the degree of the recurrence
a2 n+2 = a2n +2an+4
Is the recurrence homogeneous?
If an apple costsRs.15, a papaya costs Rs.17 and a banana costs Rs.8, write the generating function for the number of ways of purchasing these fruits with Rs.n.