You will be given several sets and asked to determine their cardinalities A x 0,1 6 x 2 4 010 B f 1,2,3,4 0,1 C f 1,2,3 1,2,3,4 f is one to one D x 0,1 3 0,1 5 0(x) 1(x) 1 E n 10,11, ,29 n 1 mod 3 The answer is A 8, B 16, C 24, D 13, E 7 Please show the process

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Question: You will be given several sets and asked to determine their cardinalities. A = { x {0,1} 6 | x[2..4] = 010 } B =

You will be given several sets and asked to determine their cardinalities.

A = { x {0,1}⁶ | x[2..4] = 010 } B = { f: {1,2,3,4} {0,1} } C = { f: {1,2,3} {1,2,3,4} | f is one to one } D = { x {0,1}³ {0,1}⁵ | #0(x) = #1(x)+1 } E = { n {10,11,...,29} | n 1 mod 3 }

The answer is |A| = 8, |B| = 16, |C| = 24, |D| = 13, |E| = 7. Please show the process.

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