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15 persons are sitting around a circular table. The number of ways of selecting three persons at a time from them, such that the selected three donot sit together at one place is

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455

440

answer is D.

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Detailed Solution

The total number of ways of selecting 3 persons from 15 persons seat around a circular table is $^{15} C_{3}$ .
No. of ways of selecting 3 persons who sit together at one place is 15. The required no of ways $=^{15} C_{3} - 15 = 440$

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