First slide

Combinations

Question

A car will hold 2 in the front seat and 1 in the rear seat. If among 6 persons 2 can drive, then number of ways in which the car can be filled, is

Easy

A

10
B

20
C

30
D

None of these

Solution

Since, 2 persons can drive the car, therefore we have to select 1 from these two. This can be done in $^{2} C_{1}$ , ways.
Now, from the remaining 5 persons we have to select 2 which can be done in $^{5} C_{2}$ ways.
Therefore, the required number of ways in which the car
can be called $=^{5} C_{2} \times^{2} C_{1} = 10 \times 2 = 20$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App