Question

If G = {7, 8} and H = {5, 4, 2}, then number of subsets of G × H ​

Answer 1

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GIVEN

G = {7, 8} and H = { 5, 4, 2}

FORMULA

n(G×H) = n(G) × n(H)

$No \: of \: subsets \: in \: any \: set = {2}^{n}$

where n = no of elements in sets

SOLUTION

n(G) = 2

n(H) = 3

Then the number of elements in G × H = 2 ×3 = 6

So the number of subsets in G× H =

${2}^{6} = 64$