Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 4)
4.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
1050
25200
21400
None of these
Answer: Option
Explanation:

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)

      = (7C3 x 4C2)
= 7 x 6 x 5 x 4 x 3
3 x 2 x 1 2 x 1
= 210.

Number of groups, each having 3 consonants and 2 vowels = 210.

Each group contains 5 letters.

Number of ways of arranging
5 letters among themselves
= 5!
= 5 x 4 x 3 x 2 x 1
= 120.

Required number of ways = (210 x 120) = 25200.

Video Explanation: https://youtu.be/dm-8T8Si5lg

Discussion:
65 comments Page 6 of 7.

Mansi said:   1 decade ago
What is the difference between permutation and combination? I always get confused.

Akhila said:   1 decade ago
How can we find the given problem is from permutation or combination?

Sagar said:   1 decade ago
If it was mentioned distinct in the question can we use 7p3*4p2.

Mohan said:   9 years ago
It's.

VCVCC
VCVCV
VCCVC
VCCCV
CVVCC
CCVVC
CCVVC
CCVCV
CCcvv

Jyoti bala said:   1 decade ago
When we apply permutation and combination? please tell me one.

Himatheja said:   8 years ago
4C2 = (3*4)/(2! * 2!).
2 VOWELS OUT OF 4.
then, why 210?
(1)

Mihul said:   7 years ago
Why at 7p3 4 is excluded can anyone help me with this?
(3)

Benni said:   1 decade ago
How can we find permutation and combination problem ?

Spurthy said:   1 decade ago
I cannot get you, after what you said after 120 ways?

Student said:   1 decade ago
Why we need multiply 120 with 210 is it necessary?


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