Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 9)
9.
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
32
48
64
96
None of these
Answer: Option
Explanation:

We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).

Required number of ways = (3C1 x 6C2) + (3C2 x 6C1) + (3C3)
= 3 x 6 x 5 + 3 x 2 x 6 + 1
2 x 1 2 x 1
= (45 + 18 + 1)
= 64.

Discussion:
81 comments Page 8 of 9.

Anand said:   6 years ago
How (3C3)=1. Can anyone explain this, please?

Nilesh Sonune said:   5 years ago
Can it be like, 9C3-(2C2*4C1+2C1*4C2)= 68?
(1)

Revathy said:   9 years ago
I think Pavel Sain's answer is correct.

Jumenal said:   1 decade ago
How you taken 6 in combination?
(1)

Ajle said:   3 years ago
Please explain 6c1 in detail.

Prince said:   8 years ago
6C2, 6C1..why we take 6 here?

Supratik said:   8 years ago
Why not 3C1 x 8C2=84 ?
(1)

Ashu Pathak said:   7 years ago
Why not 3c1 * 8c2=84?
(1)

Pavi said:   3 months ago
i want simple explain

Ria kedia said:   8 years ago
@Krish. Same doubt.


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