There are 4 girls and 7 boys in a group....

There are 4 girls and 7 boys in a group. In how many waysa team of 5 members can be selected if
(i) there is no girl in the team?
(ii) there are at least 3 girls in the team?
(iii) there are at least one boy and at least one girl in the team?

Text Solution

Verified by Experts

The correct Answer is:

(i) 21 (ii) 91 (iii) 441

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PERMUTATION AND COMBINATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise H|10 Videos
PERMUTATION AND COMBINATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise I|10 Videos
PERMUTATION AND COMBINATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise F|27 Videos
MATHEMATICAL REASONING
NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos
PRINCIPLE OF MATHEMATICAL INDUCTION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

Similar Questions

Explore conceptually related problems

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl ? (ii) at least one boy and one girl ?(iii) at least 3 girls ?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl ? (ii) at least one boy and one girl ? (iii) at least 3 girls ?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl ? (ii) at least one boy and one girl ? (iii) at least 3 girls ?

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

In how many ways can 3 boys and 3 girls can be selected from 5 boys and 3 girls?

In how many ways can 6 boys and 5 girls can be seated at a round table if no two girls are together?

How many teams of 3 boys and 3 girls can be selected from 5 boys and 4 girld?

In how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate?

In how many ways can 5 boys and 4 girls be seated at a round table, if no two girls are together?

NAGEEN PRAKASHAN ENGLISH-PERMUTATION AND COMBINATION -Exercise G

In how many ways can a committee of 5 members be formed out of 6 boys ...
Text Solution
|
There are 5 red and 6 black balls in a bag. In how many ways 6 balls c...
Text Solution
|
There are 4 girls and 7 boys in a group. In how many waysa team of 5 m...
Text Solution
|
There are 8 questions in a paper and a student have to attempt 5 quest...
Text Solution
|
(i) In how many ways a committee of 4 members out of 5 gents and 6 lad...
Text Solution
|
Out of 20 consonants and 5 vowels, how many words can be formed contai...
Text Solution
|
Out of 12 consonants and 5 vowels, how many words of 2 consonants and ...
Text Solution
|
How many words can be formed with 3 vowels and 2 consonants taken from...
Text Solution
|
There are 10 points on a plane of which 5 points are collinear. Also, ...
Text Solution
|
There are 16 points in a plane of which 6 points are collinear and no ...
Text Solution
|
No. of diagonals of a hexagon are:
Text Solution
|
Find the number of diagonals of a 16-sided polygon.
Text Solution
|
(i) Find the number of sides of a polygon if it has 35 diagonals. (i...
Text Solution
|
In how many ways can 7 red and 6 black balls be arranged in a row, if ...
Text Solution
|
In how many ways can 12 white and 8 black balls be arranged in a row i...
Text Solution
|
A person invites a group of 10 friends at dinner and seats (i) 5 on ...
Text Solution
|
In an examination a minimum is to be secured in ech of 5 subjects for ...
Text Solution
|
It is necessary to pass in each subject out of 7 subjects in an examin...
Text Solution
|
Find the number of ways of getting 2 heads and 4 tails in 6 throws of ...
Text Solution
|
How many factors are there of the number 2520?
Text Solution
|