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Let f(n) be the number of regions in...

Let `f(n)` be the number of regions in which `n` coplanar circles can divide the plane. If it is known that each pair of circles intersect in two different points and no three of them have common points of intersection, then `(i)` `f(20) = 382` `(ii)` `f(n)` is always an even number `(iii)` `f^(-1)(92) = 10` `(iv)` `f(n)` can be odd

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
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