1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In a chess tournament each of six players will play with another players exactly once. How many matches will be played during the tournament ?

A
12
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
30
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
36
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 15The situation in which the matches will be played would be as follows :(i) 1st player will play matches with other 5 players(ii) 2nd player will play matches with 4 players other than the 1st player(iii) 3rd player will play matches with 3 player other than 1st and 2nd players.(iv) 4th player will play matches with 2 players other than 1st 2nd and 3rd players.(v) 5th player will play match with 6th player only.Therefore, the number of matches played during the tournament is=5+4+3+2+1=15.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Permutations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program