Let S(n) denotes the number of ordered p...

Let S(n) denotes the number of ordered pairs (x,y) satisfying `1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N`.
`" "` (i) Find the value of S(6).
`" "` (ii) Show that, if n is prime, then S(n)=3, always.

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The correct Answer is:

(i) S(6)=9

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