Question
Let $S=\left\{x_{7}, x_{6}, \ldots, x_{1}, x_{0}\right\} .$ Determine the 8 -tuples of $0 \mathrm{~s}$ and 1 s corresponding to the following subsets of $S$ :(a) $\left\{x_{5}, x_{4}, x_{3}\right\}$(b) $\left\{x_{7}, x_{5}, x_{3}, x_{1}\right\}$(c) $\left\{x_{6}\right\}$
Step 1
Since the set is given in decreasing order, this means we want 1s in the 3rd, 4th, and 5th positions of the 8-tuple (counting from the left). So the 8-tuple is $(0, 0, 1, 1, 1, 0, 0, 0)$. Show more…
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