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UPSC NDA Math Model Paper 1
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© examsnet.com
Question : 50
Total: 120
There is a young boy's birthday party which 3 friends have attended. The mother has arranged 10 games where a prize is awarded for winning a game. The prizes are identical. If each of the 4 children receives at least one prize, then how many distributions of prizes are possible?
80
84
70
72
Validate
Solution:
Here, the number of objects is n = 10 and the number of people is r = 4.
Since, every person must get at least one object, the total number of possible distributions is:
n
−
1
C
r
=
1
=
10
−
1
C
4
−
1
=
9
C
3
=
9
!
3
!
(
9
−
3
)
!
=
7
×
8
×
9
3
×
2
×
1
=
84
.
© examsnet.com
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