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A necklace is to be made with (8) distinct beads. If two particular beads remain together and flipping is considered the same, how many necklaces are possible?(8) अलग-अलग मोतियों की माला बनानी है। यदि दो विशेष मोती साथ रहें और पलटना समान माना जाए, तो कितनी मालाएं बनेंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (720)(720)
Treat the two beads as one block, so the necklace count for (7) units is (\frac{(7-1)!}{2}), with (2!) internal ways. The total is (720).दो मोतियों को एक ब्लॉक मानें, तो (7) इकाइयों की necklace संख्या (\frac{(7-1)!}{2}) है और ब्लॉक के अंदर (2!) तरीके हैं। कुल (720) है।
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