Latest Infosys Aptitude Question SOLUTION: Find the no of ways in which 6 toffees can be distributed over 5 different people namely A,B,C,D,E.

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(#M40035171) INFOSYS Numerical Ability question P And C Keep an EYE

Find the no of ways in which 6 toffees can be distributed over 5 different people namely A,B,C,D,E.

Asked In Infosys Mukesh Nayal (10 years ago)

Solved Saraswathy Read Solution (24)

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Read Solution (24) :

AMIT JAISWAL  (10 years ago)

acc to formula (n+r-1)C (r-1) = (6+5-1)C(5-1)
=10C4 = 210 answer

Is this solution Helpfull? Yes (58) | No (2)  

Saraswathy  (10 years ago)

For A , there are 6 ways
For B, there are 5 ways
Like that 6 * 5 * 4 * 3 * 2 = 720 ways

Ans : 720 ways

Is this solution Helpfull? Yes (45) | No (47)  

pragathi anantha  (9 years ago)

If one of them gets all toffees => 5C1 = 5ways
If 6 toffees divided among two(1+5,2+4,3+3,4+2,5+1) => 5C2*5 = 50 ways
If 6 toffees divided among three(10 ways.1,2,3 1,4,1 2,2,2)=> 5C3*10=100 ways
If 6 toffees divided among four(10ways .1,2,2,1 3,1,1,1 ) => 5C4*10 = 50 ways.
If 6 divided among all(5 ways) => 5ways.

Total no. of ways = 5+50+100+50+5=210ways.

Is this solution Helpfull? Yes (14) | No   

Anwesa Roy  (9 years ago)

(Distribution of Identical to Different)
n+r-1Cr-1
=6+5-1C5-1
=10C4
=210

Is this solution Helpfull? Yes (13) | No   

kumar gourav   (10 years ago)

210

n+r-1Cr-1
n=6,
r=5

Is this solution Helpfull? Yes (9) | No   

indrani banerjee  (9 years ago)

5^6 answer.
15625

Is this solution Helpfull? Yes (9) | No (10)  

tirupathi reddy  (10 years ago)

In 6c5 ways = 6 ways

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

Srinivas  (10 years ago)

A, B,C,D,E
first 6 can be distributed among them in 6c5 ways..suppose it is given to A..
then remaing 5 can be distributed to B,C,D,E in 5c4 ways(to B)
4 can distributed among C,D,E in 4c3 ways (to C)
3 can be distributed b/w D,E in 3c2 ways (to D)
Remaing 2 will be give to E

i.e: 6c5 * 5c4 *4c3 * 3c2 * 2c1
6 * 5 * 4 * 3 * 2 * 1 = 720

Ans : 720

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

Vinay Sipani   (9 years ago)

720 seems wrong.
As per the question,toffees arent different but people are.So toffees need not have arrangement.

If one of them gets all toffees => 6C1 = 6 ways
If 6 toffees divided among two(1+5,2+4,3+3,4+2,5+1) => 6C2*5 = 75 ways
If 6 toffees divided among three(10 ways)=> 6C2*10=150 ways
If 6 toffees divided among four(10 ways) => 6C4*10 = 150 ways.
If 6 divided among all(5 ways) => 6C5*5=30 ways.

Total no. of ways = 6+75+150+150+30=411 ways.

Is this solution Helpfull? Yes (5) | No (7)  

Dushyant Paterya  (6 years ago)

We assume that all the toffees are similar. Then Number of ways are
(n+r-1)C(r-1)

. Here A + B + C + D + E = 6
Here r = 5, n = 6
Number of ways = (6+5-1) C(5-1)
=10C4
=210 ans

" If all the toffees are different, then each toffee can be distributed to any of the five. So total ways are
5^6 "

Is this solution Helpfull? Yes (3) | No   

prince kumar singh  (10 years ago)

10c5=252 ways..

Is this solution Helpfull? Yes (2) | No (1)  

khushboo singh  (10 years ago)

there are 720 ways.
since there r 6 toffes which r distributed btwn 5 people,it means 6c5 * 5c4 * 4c3 * 3c2 * 2c1 = 720

Is this solution Helpfull? Yes (2) | No (1)  

Mukesh Nayal  (10 years ago)

@ could you explain how the formula is formulated?

Is this solution Helpfull? Yes (1) | No   

Iamature  (10 years ago)

6C5=6C(6-5)=6C1
=6x5x4x3x2x1
=720

Is this solution Helpfull? Yes (1) | No (7)  

Pritam Nandy  (9 years ago)

n=6
r=5

n+r-1 6+5-1
C = C =210 ways.
r-1 5-1

Is this solution Helpfull? Yes (1) | No   

Himanshu  (7 years ago)

Ans: 3125.
5 raised to the power 6

Is this solution Helpfull? Yes (1) | No   

Debdulal Mandal  (7 years ago)

We assume that all the toffees are similar.
Then Number of ways are (n+r−1)Cr−1(n+r−1)Cr−1.
Here A + B + C + D + E = 6
Here r = 5, n = 6
Number of ways =(n+r-1)C (r-1) = (6+5-1)C(5-1)= 210 .

If all the toffees are different, then each toffee can be distributed to any of the five That case total ways are 56.

Is this solution Helpfull? Yes (1) | No   

Nihar Ranjan Mohanty  (9 years ago)

6 * 5 * 4 * 3 * 2 = 720 ways

Ans : 720 ways

Is this solution Helpfull? Yes | No (2)  

Anshu Srivastava  (9 years ago)

6!=6*5*4*3*2*1=720

Is this solution Helpfull? Yes | No (1)  

Lokendra singh  (9 years ago)

6c5*5!=720

Is this solution Helpfull? Yes | No   

vikas  (9 years ago)

no of ways to select 5 toffees = 6C5 => 6 ways
no of ways each person(5) gets one toffee at least from the selected toffees = 5!
total no of ways = 6*5! => 720
now the last one can be given to anyone among the 5 persons hence total no of ways = 720*5/2= 1800 ways

Is this solution Helpfull? Yes | No   

v.lavanya  (9 years ago)

i am not getting which one is the correct answer can anyone help me out??

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nupur priya  (9 years ago)

m not getting which is correct answer

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sree  (8 years ago)

6*5*4*3*2*1=720

Is this solution Helpfull? Yes | No (1)  

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