91Ó°ÊÓ

A recent survey by the MAD corporation indicates that of the 700 families interviewed, 220 own a television set but no stereo, 200 own a stereo but no camera, 170 own a camera but no television set, 80 own a television set and a stereo but no camera, 80 own a stereo and a camera but no television set, 70 own a camera and a television set but no stereo, and 50 do not have any of these. Find the number of families with: At least one of the items.

In Exercises \(41-46,\) a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left|x \in \Sigma^{*}\right| x\) begins with and ends in \(b .1\)

A recent survey by the MAD corporation indicates that of the 700 families interviewed, 220 own a television set but no stereo, 200 own a stereo but no camera, 170 own a camera but no television set, 80 own a television set and a stereo but no camera, 80 own a stereo and a camera but no television set, 70 own a camera and a television set but no stereo, and 50 do not have any of these. Find the number of families with: All of the items.

a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left\\{x \in \Sigma^{*} | x \text { begins with and ends in } b .\right\\}\)

a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left\\{x \in \Sigma^{*} | x \text { contains exactly one } b .\right\\}\)

In Exercises \(41-46,\) a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left\\{x \in \Sigma^{*} | x \text { contains exactly one } b .1\right.\)

In Exercises \(41-46,\) a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left|x \in \Sigma^{*}\right| x\) contains an even number of \(a^{\prime} 8.1\)

Determine if each is a partition of the set \(\\{a, \ldots, z, 0, \ldots, 9\\}.\) $$\\{\\{a, \ldots, z\\},\\{0, \ldots, 9\\}, \emptyset\\}$$

a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left\\{x \in \Sigma^{*} | x \text { contains an even number of } a \text { 's. }\right\\}\)

In Exercises \(41-46,\) a language \(L\) over \(\Sigma=\\{a, b\\}\) is given. Find five words in each language. \(L=\left\\{x \in \Sigma^{*} | x \text { contains an even number of } a^{\prime} \text { s followed by an odd }\right.\) number of \(b^{\prime} s . \\}\)