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**Tazsweet19** 1. Let U: = {1,2,3,4,5,6,7,8,9} be the universal set. Let A:= {1,4,5}, B:= {4,5,7}, C: {3,5,8,9}.

a) list the elements of A^c

b) list the elements of A – B -> answer A{1,4,5} - B{4,5,7} = {1,7}

c) list the elements of B U C -> answer B{4,5,7} U C{3,5,8,9} = {3,4,7,8,9}

d) list the elements of A^c *∩ *B^c

e) list the elements of A *∩ *B *∩ *C. -> answer A{1,4,5} *∩ *B {4,5,7} *∩ *C {3,5,8,9} = {1,3,7,8,9}

2) Use the binomial theorem to prove that $\displaystyle E 2n k=0 (2n/k) = 4^n$. b) write out the expansion 7x + 10y =1.