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COMP 283 UNC Discrete final exam questions with complete solutions 2024.
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COMP 283 UNC Discrete final exam questions with complete solutions 2024.
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COMP 283 UNC Discretefinal exam questions with
complete solutions 2024
How jmany jbinary jtrees jare jthere jwith jn jvertices? j-
jANS✓✓-Use jCatalan jnumber:
(2n)!/((n+1)!n!)
How jmany jfaces jare jthere jin ja jgraph jgiven jvertices
jand jedges? j- jANS✓✓-Vertices j- jEdges j+ jFaces= j2
How jmany jr-cliques jin ja jgraph jKn? j- jANS✓✓-n
jchoose jr j
n!/r!(n-r)!
How jmany jways jto jchoose ja jsequence jof janimals
jwith j2 jcats jand j3 jdogs jfrom j5 jcats jand j4 jdogs j-
jANS✓✓-5x4x4x3x2
c jc jd jd jd j
then jmultiply jby j5 jchoose j3 j(or j2 jdoesnt jmatter)
5!/3!2!
4800
How jmany jdifferent jways jto jchoose j3 jdonuts jfrom j6
jwhere jorder jdoes jnot jmatter? j- jANS✓✓-6 jchoose j3
6!/3!3!
20
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