Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 11)
11.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
135
Answer: Option
Explanation:

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = 7 x 6 x 3 = 63.
2 x 1

Discussion:
51 comments Page 4 of 6.

SHIVAM SHUKLA said:   10 years ago
I didn't understand this problem. Please each and every step explain it.

Anoushka said:   9 years ago
Sir I haven't understood why have we multiplied 3 with 7*6/2*1 *3.

Sam said:   9 years ago
Why we are taking as 7c2 * 3c1? Please explain it.

Sudha said:   9 years ago
How 7c2 will come instead 7C5?

Mayank said:   9 years ago
@Sudha.

As know this formula n!/r!(n-r)!.

7!/5!2!
3!/2!1!

The answer will be same .

What they have done is try to reduce one step.

Mariyam said:   9 years ago
@Satish your explanation is very understandable.

Dhayithri said:   9 years ago
Here we can also taken as 3c2 as 3c1 because factorial of those two is equal.

Feze said:   9 years ago
Why we multiply with 3 here?

Jyoti said:   9 years ago
According to me, the final answer which displayed is wrong.

If we multiply 126 is coming.

Shivaraj said:   9 years ago
@Feze.

3c1=3 By std formulae.


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