Curioustab

Home » Aptitude » Permutation and Combination

From a group of 6 men and 4 women a committee of 4 persons is to be formed?

210
225
195
185

Correct Answer: 195

Explanation:

Required no. of ways = [⁴C₁ x ⁶C₃] + [⁴C₂ x ⁶C₂] + [⁴C₃ x ⁶C₁] + [⁴C₄]
= 80 + 90 + 24 + 1 = 195.

← Previous Question Next Question→

More Questions from Permutation and Combination

The numbers of straight lines can be formed out of 10 points of which 7 are collinear?
The number of different permutations of the word 'BANANA' is?
Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is?
In how many ways can the letter of the word ' civilization' be arranged?
Letters of the word DIRECTOR are arranged in such a way that all the vowels come together. Find out the total no. of ways for making such arrangement.?
How many different letter arrangements can be made from the letter of the word RECOVER?
There are 20 books of which 4 are single volumes and the other are books of 8, 5 and 3 volumes respectively. In how many ways can all these books be arranged on a self so that volumes of the same book are not separated?
A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated?
4 boys and 2 girls are to be seated in a row in such a way that two girls are always together. In how many different ways can they be seated?
The total number of words, which can be formed out of the letters a, b, c, d, e, f taken 3 together, such that each word contains at least one vowel is?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion