Permutation or combination?

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

7 Answers

49
Subhomoy Bakshi ·

driver seat can be filled in by 2 ways, next seat by 5 ways n back seat by 4 ways....so ans is 2*5*4=40

1
prongs05 ·

yeah.... it should be... 2*5*4 = 40... is this the answer??

1
Arka Halder ·

yeah,i did the same.but answer given is 20.

1
Arka Halder ·

I think they have considered the seating as combination and not permutation.
But don't u think that this should be permutation?
e.g. say 2 persons A and B are to be seated in the front and rear respectively,after the sitting of the driver(who can be selected in 2 ways).now in case (i) A sits in front and in (ii) he sits in rear.shouldn't these 2 be different?

49
Subhomoy Bakshi ·

u r genius man............great job.....n dat will b combination only...

1
Arka Halder ·

hey,why combination?isn't this very controversial?
40 was not even there in the options...so nowadays do we need to see the options and understand whether a sum is on permutation or combination???

1
prongs05 ·

ooohh..its done by the combination method...
2C1*5C2=20

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