Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840 , then the total numbers of persons, who participated in the tournament, is ________.

Step-by-step solution

Given, Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840 , Now Let total number of persons be 2 n , so number of couples will be n Now number of matches played, so that no couple played in a match is given by, ⇒ C 2 n · C 2 n - 2 · 2 = 840 as if we choose couple as A , B and other couple as C , D and taking other two couple as x , y   &   w , z , so the possible combination of the match where