Latest TCS Aptitude Question SOLUTION: q.1 in how many ways can 3 postcards can be posted in 5 postboxes? q.2.in how many ways can 5 postboxes hold 3 post cards?

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q.1 in how many ways can 3 postcards can be posted in 5 postboxes?
q.2.in how many ways can 5 postboxes hold 3 post cards?

Asked In TCS deepak gupta (11 years ago)

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RAVI KIRAN  (11 years ago)

q.1 in how many ways can 3 postcards can be posted in 5 postboxes?

first post card can be posted in any of the 5 post boxes =5c1 ways
second post card can be posted in any of the 5 post boxes =5c1 ways
third post card can be posted in any of the 5 post boxes =5c1 ways

number of ways=5c1*5c1*5c1=125=5^3

q.2.in how many ways can 5 postboxes hold 3 post cards?
first post box can hold 3 post cards in 3c1 ways
second post box can hold 3 post cards in 3c1 ways
third post box can hold 3 post cards in 3c1 ways
fourth post box can hold 3 post cards in 3c1 ways
fifth post box can hold 3 post cards in 3c1 ways
so number of ways =3c1*3c1*3c1*3c1*3c1=3^5

Is this solution Helpfull? Yes (62) | No (3)  

Pulkit Mehrotra  (11 years ago)

sry frends....previously i posted the wrong answer...
the correct ans will be 3^5 and 5^3 respectively...

Is this solution Helpfull? Yes (9) | No (14)  

kalyan pannuru  (11 years ago)

1)5^3
2)3^5

Is this solution Helpfull? Yes (8) | No (7)  

Pulkit Mehrotra  (11 years ago)

its 5c2*3! = 60.
3 postcards can be put into 5 postboxes in 5c2 ways and they can be arranged with 3! ways = 6.
thus total no of ways are 60.

Is this solution Helpfull? Yes (6) | No (9)  

Abhishek kUNDU  (11 years ago)

is this q's from tcs apti test 2012???

Is this solution Helpfull? Yes (4) | No (3)  

onkar nagarkar  (11 years ago)

can any1 please send m tcs new placement pattern urgently on my id nagarkaronkar@gmail.com

Is this solution Helpfull? Yes (3) | No (4)  

Pulkit Mehrotra  (11 years ago)

its simple...see....each of the postcard can be out in any of the 5 postboxes...thus each postcard has got 5 option, thus 3 postcard can be put in 3^5 ways.....similarly the second question goes...

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deepak gupta  (11 years ago)

plz give reason why it's answer is 5^3 and 3^5?????

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Rishabh Kaushik  (9 years ago)

i think answer should be same in both cases 5^3

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Surit Datta  (9 years ago)

5^3 and 3^5 ways.

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aditi  (7 years ago)

ans.1 is 125
ans.2 is 10

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Riya malaiya  (3 years ago)

both question are similar...................
to select 3 postcard from 5
no. of way will be - 5C3 - 10
1. ans - 10
2. ans -10

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