Latest CAT Aptitude Question SOLUTION: A BOY HAS INITIALLY 2 RUPESE.HE PLAYS A GAME .HE GAINS 1 IF WINS AND LOSES 1 IF LOSES .HE CAN LOSE MAXIMUM 3 GAMES.IN HOWMANY WAYS HE CAN HAVE A TOTAL OF 5 RUPEES.

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(#M40011836) CAT question Keep an EYE

A BOY HAS INITIALLY 2 RUPESE.HE PLAYS A GAME
.HE GAINS 1 IF WINS AND LOSES 1 IF LOSES
.HE CAN LOSE MAXIMUM 3 GAMES.IN HOWMANY WAYS HE CAN HAVE A TOTAL OF 5 RUPEES.

Asked In CAT BRIJESH KUMAR GUPTA (11 years ago)

Unsolved Read Solution (3)

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indrajit hui  (11 years ago)

when he loses 3 games he has to win 6 games
this can be achieved in 9!/(6!*3!)=84 ways
when he loses 2 games he needs to win 5
no of ways= 7!/(5!*2!)=21
similarly losing 1 & winning 4 = 5!/4!=5
winning all in 1 way
so total ways= 84+21+5+1=111

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Badhrinath  (11 years ago)

SOLUTION:
9C6 + 7C5 + 5C4 +3c3 = 111
To get total 5 at end, the possibilities are:
winning 6 out of 9 games : 9C6 (since,we can't loose more than 3 games)
winning 5 out of 7 games : 7C5
winning 4 out of 5 games : 5C4
winning 3 out of 3 games : 3C3 (winning all match)

Is this solution Helpfull? Yes (7) | No   

indrajit hui  (11 years ago)

when he loses 3 games he has to win 6 games
this can be achieved in 9!/(6!*3!)=84 ways
when he loses 2 games he needs to win 5
no of ways= 7!/(5!*2!)=21
similarly losing 1 & winning 4 = 5!/4!=5
winning all in 1 way
so total ways= 84+21+5+111

Is this solution Helpfull? Yes (3) | No (2)  

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