Let A w x y z and B a b Use the setroster notation to write

Let A {w. x, y, z} and B = {a, b} Use the set-roster notation to write each of the following sets, and indicate the number of elements in each set a. A x B b. B x A C. A x A d. B x B

Solution

Using the set-roster notation....

A = {w, x, y, z}

B = {a, b}

a)

A X B = {<w, a>, <w, b>, <x, a>, <x, b>, <y, a>, <y, b>, <z, a>, <z, b>}

(Note: you can also write as { { m, n } , { o, p} } or as written using < > That differs as per the references. )

Number of elements : 8

b)

B X A = { <a, w>, <a, x>, <a, y>, <a, z>, <b, w>, <b, x>, <b, y>, <b, z> }

Number of elements : 8

c)

A X A = { <w, w>, <w, x>, <w, y>, <w, z>, <x, w>, <x, x>, <x, y>, <x, z>, <y, w>, <y, x>, <y, y>, <y, z>, <z, w>, <z, x>, <z, y>, <z, z> }

Number of elements = 16

d)

B X B = { <a, a> , <a, b>, <b, a>, <b, b> }

Number of elements = 4

In general, number of elements = multiplication of number of elements in individual e.g. 4*2=8 and so on....

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