Latest TCS Aptitude Question SOLUTION: You have Rs.2 with u.You have to play a game in which if u win u will get 1 Re. and if lost you will lose 1 Re.You can lose up to 3 times. But if u get 5 Rs, you are left out of th

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(#M40035213) TCS Numerical Ability question puzzle Keep an EYE

You have Rs.2 with u.You have to play a game in which if u win u will get 1 Re. and if lost you will lose 1 Re.You can lose up to 3 times. But if u get 5 Rs, you are left out of the game. In how many ways is this possible?

Asked In TCS pooja (10 years ago)

Unsolved Read Solution (16)

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Read Solution (16) :

shabih abbas  (9 years ago)

case 1: I win every game
WWW =1
he has three rupees
case 2: I lose 1 game
so the number of combination will be 4
LWWWW, WLWWW, WWLWW, WWWLW
case 3: I lose 2 games
combinations will be 15
LLWWWWW, WLLWWWW, WWLLWWW, WWWLLWW, WWWWLLW, LWLWWWW, LWWLWWW, LWWWLWW,
LWWWWLW, WLWLWWW, WLWWLWW, WLWWWLW, WWLWLWW, WWLWWLW, WWWLWL
case 3:I lose 3 games
so combination will be
LLLWWWWWW, WLLLWWWWW, WWLLLWWWW, WWWLLLWWW, WWWWLLLWW, WWWWWLLLW
LLWLWWWWW, LLWWLWWWW, LLWWWLWWW, LLWWWWLWW, LLWWWWWLW
WLLWLWWWW, WLLWWLWWW, WLLWWWLWW, WLLWWWWLW, WWLLWLWWW, WWLLWWLWW
WWLLWWWLW, WWWLLWLWW, WWWLLWWLW, WWWWLLWLW, LWLLWWWWW, LWWLLWWWW
LWWWLLWWW, LWWWWLLWW, LWWWWWLLW, WLWLLWWWW, WLWWLLWWW, WLWWWLLWW
WLWWWWLLW, WWLWLLWWW, WWLWWLLWW, WWLWWWLLW, WWWLWLLWW, WWWWLWLLW
LWLWLWWWW, LWLWWLWWW, LWLWWWLWW, LWLWWWWLW, WLWLWLWWW, WLWLWWLWW
WLWLWWWLW, WWLWLWLWW, WWLWLWWLW, WWWLWLWLW
SO total of 40 combination is possible if I loose 3 games
so total number of ways in which i will win rs 5 and leave the game is
1+4+15+46=66

Is this solution Helpfull? Yes (20) | No (18)  

Himasree   (9 years ago)

already Rs.2
2+(3 win) ----> 1 way
Maximum 3 loss
2+(6 win)(- 3 loss) : 9!/6!*3!
2+(5 win)(-2 loss) : 7!/5!*2!
2+(4 win)(-1 loss) : 5!/4!*1!

1+(9!/6!*3!)+(7!/5!*2!)+(5!/4!*1!)= 111

Is this solution Helpfull? Yes (9) | No (5)  

Niveditha Ravichandran  (9 years ago)

@ SHABIH ABBAS in case 2 and 3 after 3 wins www the person will be out of the game so many combinations (in case 2 and 3) which you have given will not come.

Is this solution Helpfull? Yes (5) | No (1)  

yogesh  (10 years ago)

ans is 66 ways.

Is this solution Helpfull? Yes (1) | No (33)  

Tanvir Sarkar  (9 years ago)

ans is 76
for combination WWW-1
for combination WLWWW->4!/3!=4
for combination WLLWWWW->6!/(4!*2!)=15
for combination WLLLWWWWW->7!/(3!*5!)=56
TOTAL=56+15+4+1=76

Is this solution Helpfull? Yes (1) | No (1)  

anvitha  (8 years ago)

Now the logic of the Question is in this that he can be out of the game as soon as he gets 5 Rs and a maximum of 3 loses are allowed

for 0 lose
we have number of ways until he gets point 5 and is out of the game as 3!/3!=1

for 1 lose
number of ways are =4!/3!=4

for 2 lose it is
number of ways are =6!/4!=15

for 3 lose it is
number of ways are =46

so total ways are 1+46+15+4=66

Is this solution Helpfull? Yes (1) | No   

jasmine kaur  (9 years ago)

plzz explain

Is this solution Helpfull? Yes | No (2)  

vishal  (9 years ago)

can anyone xplain plz???

Is this solution Helpfull? Yes | No (1)  

Divya  (9 years ago)

can anyone expalin it .??

Is this solution Helpfull? Yes | No (3)  

sanchari bagchi  (9 years ago)

plz explain this

Is this solution Helpfull? Yes | No (2)  

Raj Kumar Sah  (9 years ago)

can any one explain it

Is this solution Helpfull? Yes | No (1)  

keerthi  (9 years ago)

plz explain

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surbhi sarda  (9 years ago)

case 1: lwlwl
case 2: wwlll
case 3: wllwl
case 4: llwwl
case 5: lwwll
so in 5 ways

Is this solution Helpfull? Yes | No (4)  

ARPITA AICH  (9 years ago)

please explain the sum?

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aneeshabsoman  (9 years ago)

Now the logic of the Question is in this that he can be out of the game as soon as he gets 5 Rs and a maximum of 3 loses are allowed

for 0 lose
we have number of ways until he gets point 5 and is out of the game as 3!/3!=1

for 1 lose
number of ways are =4!/3!=4

for 2 lose it is
number of ways are =6!/4!=15

for 3 lose it is
number of ways are =46

so total ways are 1+46+15+4=66

Is this solution Helpfull? Yes | No   

Ratan Dutta  (8 years ago)

91ways...
1+6p1+7p2+(7p2*1)=91 ways

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