Chapter 13.3, Problem 10E

Determine whether the string 01001 is in each of these sets.

a) $\left\{0,1\right\}$

b) $\left\{0\right\}\left\{10\right\}\left\{1\right\}$

c) $\left\{010\right\}\left\{0\right\}\left\{01\right\}$

d) $\left\{010,011\right\}\left\{00,01\right\}$

e) $\left\{00\right\}{\left\{0\right\}}^{*}\left\{01\right\}$

f). ${\left\{01\right\}}^{*}{\left\{01\right\}}^{*}$