NCERT Class XI Mathematics - Permutations and Combinations - Solutions

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Question : 29
Total: 41
A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.
Solution:  
No. of ways of selecting 2 black balls =
5
‌
C2

No. of ways of selecting 3 red balls =
6
‌
C3

∴ Required no. of ways of selecting 2 black & 3 red balls =
5
‌
C2
×
6
‌
C3

=
5!
2!3!
×
6!
3!3!
=
5×4
2
×
6×5×4
3×2
= 200
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