JEE 2023 Mathematics PYQ — Some couples participated in a mixed doubles badminton tournament… | Mathem Solvex | Mathem Solvex
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JEE 2023 — Mathematics PYQ
JEE | Mathematics | 2023
Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple in a match, is 840, then the total numbers of persons, who participated in the tournament, is ____.
Choose the correct answer:
A.
16
(Correct Answer)
B.
15
C.
14
D.
13
Correct Answer:
16
Explanation
Let number of complex be n. According to the question:
nC2×n−2C2×2=840
⇒2n(n−1)×2(n−2)(n−3)×2=840
n(n−1)(n−2)(n−3)=1680=8×7×6×5
On comparing, n=8, so total persons = 2n=16.
Explanation
Let number of complex be n. According to the question:
