AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways this can be done, if at most two ladies are included?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

120

186

214

260

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The possible way of forming this committee are
There are 5 gents and 0 ladies
4 gents and 1 lady
3 gents and 2 ladies
The number of combinations of 5 gents and 0 ladies is

C_{5}^{6} \times C_{0}^{4} = 6

The number of combinations of 4 gents and 1 lady is

C_{4}^{6} \times C_{1}^{4} = 15 \times 4 = 60

The number of combinations of 3 gents and 2 ladies is

C_{3}^{6} \times C_{2}^{4} = 20 \times 6 = 120

The total number of combinations of forming the committee of 5 persons is 6+60+120=186 ways.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!