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Question
Mathematics
In a collection of 6 mathematics books and 4 physics books, the probability that 3 particular mathematics books will be together is:
Q. In a collection of 6 mathematics books and 4 physics books, the probability that 3 particular mathematics books will be together is:
4925
229
Probability
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A
8
1
18%
B
10
1
45%
C
15
1
27%
D
20
1
9%
Solution:
Total ways in a collection of books
= (6 + 4)! =10!
Let 3 books of maths consider as one book, then (3 maths + 3 maths + 4 physics) = 6 books
∴
Favourable cases = 3! × 8!
∴
Required probability
=
10
!
3
!
×
8
!
=
10.9.8
!
3.2.1.8
!
=
15
1