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A group of 8 scientist is composed of 5 chemist and 3 biologist. In how many ways can a committe of 5 be formed that has 3 chemist and 2 biologist? Using mathematical induction prove that 13 + 23 + 33 + ……………….. + n3 = n2(n + 1)2 / 4) for n ≥ 1.
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