Latest exam Aptitude Question SOLUTION: In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys? A. 20 B. 30 C. 25 D. 600 E.

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(#M40020721) EXAM question permutation Keep an EYE

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

A.

20

B.

30

C.

25

D.

600

E.

480

Asked In exam MAN (10 years ago)

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saranya  (10 years ago)

to satisfy the condition no box is empty,there is two possibility,
(3,1,1)
(2,2,1)
for first condition(3,1,1)the combination would be,
5C3*1C1*1C1=10
for second condition,(2,2,1)
first place one ball in a box5C1=5
then it becomes as (2,1,1)
now,5C2*1C1*1C1=10
then for(2,2,1)it is 5+10=15.
combining both conditions we get,
10+15=25.
the ans:25

Is this solution Helpfull? Yes (2) | No (4)  

R.R.Noubra Ashika  (10 years ago)

the options are wrong here. the actual options are
a)25
b)15
c)125
d)243

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

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