You visited us 1 times! Enjoying our articles? Unlock Full Access!

Combination

How many diff...

Question

How many different committees of 5 members may be formed from 6 gentlemen and 4 ladies?

181

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

357

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

603

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

252

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

Open in App

Solution

The correct option is D 252
Since there are total 10 persons and out of these 10 persons we have to select any 5 persons which can be done in $^{10} C_{5}$ ways.
$∴^{10} C_{5} = \frac{10!}{5! \times 5!} = 252$

Suggest Corrections

Similar questions

From 8 gentlemen and 5 ladies a committee of 6 is to be formed. In how many ways can this be done so that the committee contains at least 3 ladies?

4

2

5

6

4

3

2

6

8

4

3

4

100

Join BYJU'S Learning Program