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 did not sit together at one place is

Step-by-step solution

The total number of ways selecting 3 persons from 15 persons seat around a circular table is ( ¹⁵ C₃ ). Now, number of ways selecting 3 persons who sit together at one place is 15 . ( aligned So, required number of ways & = ¹⁵ C₃-15 & = 15 14 13 3 2 -15 & =35 13-15 & =455-15=440 aligned ) Hence, option (d) is correct.