Latest Elitmus Aptitude Question SOLUTION: COMPUTE THE NUMBER OF DISTINCT WAY IN WHICH 56 TOFFEES CAN BE DISTRIBUTED TO 5PERSON A,B,C,D AND E SO THAT NO PERSON RECEIVES LESS THAN 10 TOFFEES(TOFFEE CAN NOT BE DEVIDED)??

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(#M40032288) ELITMUS Numerical Ability question PERMUTATION AND COMBINATION Keep an EYE

COMPUTE THE NUMBER OF DISTINCT WAY IN WHICH 56 TOFFEES CAN BE DISTRIBUTED TO 5PERSON A,B,C,D AND E SO THAT NO PERSON RECEIVES LESS THAN 10 TOFFEES(TOFFEE CAN NOT BE DEVIDED)??

Asked In Elitmus Abdul Nafeesh Khan (10 years ago)

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RAKESH  (10 years ago)

NO PERSON RECEIVES LESS THAN 10 TOFFEES
so 50 toffees are distributed equally i.e 10 toffees to each of A,B,C,D,E
now (56-50=6) toffees are to be distributed among 5 persons

we know that
number of ways in which n identical things can be distributed among r persons, each one of them can get 0,1,2 or more
=(n+r-1)C(r-1)

here n=6(toffee) is to distributed among r=5(persons)

no. of ways=(6+5-1)C(5-1)=10C4=10C6

Is this solution Helpfull? Yes (60) | No (1)  

AISHWARYA BAJPAI  (10 years ago)

ans. 210
5-1c^6+5-1

Is this solution Helpfull? Yes (4) | No   

Ankit patel  (10 years ago)

10C4.Firstly give 10 toffees to each then 6 toffee can be distributed to 5 person as:(6+5-1)C(5-1) = 10C4=140

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

KANCHAN MALA  (10 years ago)

210
0 0 0 0 6= 5 ways
0 0 0 1 5= 20 ways
0 0 1 1 4= 30 ways
0 0 0 2 4 = 20 ways
0 1 1 1 3= 20 ways
0 0 1 2 3= 60 ways
0 0 0 3 3 =10 ways
1 1 1 1 2= 5 ways
0 1 1 2 2=30 ways
0 0 2 2 2 = 10 ways
after adding all 210 ans
also by 10C4= 210

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Deepak Kumar  (10 years ago)

first we will distribute 10 toffees to each of 5 persons i.e total 50 toffees ,
now remaining toffees are 6 which we have to distribute among 5 person so this can be possible in
m+r-1 C r-1
=>6+5-1C5-1=10C4

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