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a-set-containing-k-1-elements-has-8-more-subsets-that-of-a-set-containing-k-elements-find-the-value-of-k-




Question Number 45429 by mondodotto@gmail.com last updated on 12/Oct/18
a set containing (k+1) elements  has 8 more subsets that of   a set containing k elements.  find the value of k
$$\mathrm{a}\:\mathrm{set}\:\mathrm{containing}\:\left(\boldsymbol{\mathrm{k}}+\mathrm{1}\right)\:\mathrm{elements} \\ $$$$\mathrm{has}\:\mathrm{8}\:\mathrm{more}\:\mathrm{subsets}\:\mathrm{that}\:\mathrm{of}\: \\ $$$$\mathrm{a}\:\mathrm{set}\:\mathrm{containing}\:\boldsymbol{\mathrm{k}}\:\mathrm{elements}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{\mathrm{k}} \\ $$

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