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How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16?(a) 76967234(b) 5652209(c) 14414400(d) 8686214This question was addressed to me in examination.My doubt stems from Groups topic in portion Groups of Discrete Mathematics |
Answer» RIGHT choice is (c) 14414400 The BEST I can EXPLAIN: If B is the SET of all possible permutations of these 16 beads, then the required ANSWER is |B| = 16!/(9!)4 = 14414400. |
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