1. Let A = {1,2, .., 122}. Determine the number of subsets X CA that satisfy cach condition. In cach case leave your answer as a formula like 2100 – 250 +1 rather than computing a number. (a) X contains only even integers. (b) |X|> 2. (c) {1,2,3} Ç X.

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1. Let A = {1,2, ..., 122}. Determine the number of subsets X C A that satisfy each
condition. In cach case leave your answer as a formula like 2100 – 250 +1 rather than
computing a number.
(a) X contains only even integers.
(b) |X| > 2.
(c) {1,2, 3} Ç X.
(d) 101 e X and 122 e X, or 100 e X.
Transcribed Image Text:1. Let A = {1,2, ..., 122}. Determine the number of subsets X C A that satisfy each condition. In cach case leave your answer as a formula like 2100 – 250 +1 rather than computing a number. (a) X contains only even integers. (b) |X| > 2. (c) {1,2, 3} Ç X. (d) 101 e X and 122 e X, or 100 e X.
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