Latest UPSC Aptitude Question SOLUTION: In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played? [UPSC 2010 (CS-P)] a) 105 b) 91 c) 85 d) 7

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(#M40023615) UPSC question Mental Ability Keep an EYE

In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played? [UPSC 2010 (CS-P)]
a) 105
b) 91
c) 85
d) 78

Asked In UPSC MAN (10 years ago)

Unsolved Read Solution (4)

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Deeksha   (8 years ago)

1 team play 13 matches
Its means total matches = 13×14 ÷2=91

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Divyarajsinh Solanki  (7 years ago)

It is similliar like hand shanking problem think theory of permutation and combination 14C2=(14*13)/2=91

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shikher  (9 years ago)

91
You have 14 teams- a,b,c,d,f,g,h,j,k,l,m,n,p,q
a plays b,c,d,f,g,h,j,k,l,m,n,p,q= 13 matches
b plays c,d,f,g,h,j,k,l,m,n,p,q= 12
c plays d,f,g,h,j,k,l,m,n,p,q=11
and so on through the line up
you get 13+12+11+10+9+8+7+6+5+4+3+2+1
for a total of 13! matches, or 91 matches.

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vignesh  (9 years ago)

91 matches

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