exam Maths Puzzle

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

Read Solution (Total 2)

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
10 years agoHelpfull: Yes(2) No(4)

the options are wrong here. the actual options are
a)25
b)15
c)125
d)243
10 years agoHelpfull: Yes(1) No(1)

exam Other Question

A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row for dinner. The grandchildren wish to occupy the 4 seats at each end and the grandfather refuses to have a grandchild on either side of him. The number of ways in which the family can be made to sit is:

A.

21530

B.

8! × 480

C.

8! × 360

D.

8! × 240
When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?

A.

25

B.

41

C.

22

D.

42

E.

31