MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Division and Distribution into Groups of Unequal Sizes

A committee o...

Question

A committee of 5 is to be formed from 6 boys and 5 girls,. The number of ways that the committee can be formed so that the committee contains at least one boy and one girl is

A

440

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

445

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

450

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

455

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 455
Required number of ways = $6 c_{1} 5 c_{4} + 6 c_{2} 5 c_{3} + 6 c_{3} 5 c_{2} + 6 c_{4} 5 c_{1}$
= $30 + 150 + 200 + 75$
= $455$

Suggest Corrections

thumbs-up

17

Similar questions

Q. A committee of 5 is to be formed from 6 boys and 5 girls,. The number of ways that the committee can be formed so that the committee contains at least one boy and one girl is

Q. A committee of

5

is to be formed from

6

5

girls. The number of ways that the committee can be formed, so that the committee contains at least two boys and two girl is

Q. A committee of

5

members is to be formed from

6

5

girls. The number of ways in which the committee can be formed so that the committee must contain at least one boy and one girl having majority of boys is

Q. A committee of

5

members is to be formed from

6

5

girls. The number of ways in which the committee can be formed so that the committee must contain atleast one boy and one girl having majority of boys is

Q. From a group of 7 boys and 6 girls, 5 students are to be selected to form a committee so that at least 3 boys are there on the committee. In how many ways can it be done?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Division and Distribution into Groups of Unequal Sizes

Standard XI Mathematics

Join BYJU'S Learning Program

CrossIcon