Chapter 6.1, Problem 27ES

To determine

(a)

Find out whether $\left\{\left\{a,d,e\right\},\left\{b,c\right\},\left\{d,f\right\}\right\}$ is a partition of $\left\{a,b,c,d,e,f\right\}$ or not.

To determine

(b)

Find out whether $\left\{\left\{w,x,v\right\},\left\{u,y,q\right\},\left\{p,z\right\}\right\}$ is a partition of $\left\{p,q,u,v,w,x,y,z\right\}$ or not.

To determine

(c)

Find out whether $\left\{\left\{5,4\right\},\left\{7,2\right\},\left\{1,3,4\right\},\left\{6,8\right\}\right\}$ is a partition of $\left\{1,2,3,4,5,6,7,8\right\}$ or not.

To determine

(d)

Find out whether $\left\{\left\{3,7,8\right\},\left\{2,9\right\},\left\{1,4,5\right\}\right\}$ is a partition of $\left\{1,2,3,4,5,6,7,8,9\right\}$ or not.

To determine

(e)

Find out whether $\left\{\left\{1,5\right\},\left\{4,7\right\},\left\{2,8,6,3\right\}\right\}$ is a partition of $\left\{1,2,3,4,5,6,7,8\right\}$ or not.