Question

six people have to attend an event in 3 vehicles.each of which can accomodate maximum of six person.in how many way they can go so that they use all the vehicle?s

Answer 1

Step-by-step explanation:

2 members in each vehicle

Answer 2

Answer:

75 WAYS.

Step-by-step explanation:

Given that ,

six people have to attend an event in 3 vehicles. Each of which can accomodate maximum of six person. In how many way they can go so that they use all the vehicles?

So, as per given question.

There are three vehicles and at each vehicle maximum six people can seat.

But they have to go in event with three vehicles .

 Let the three vehicle be ,

                   ____            ______              _____

                     4                      1                         1

                     

                 _____          ______            _______

                    1                       4                      1

               ______         _______          _______

                   1                       1                        4

At single vehicle when 4 people seat then they can seat in ( 4×3×2×1) ways and when second vehicle people change their position within 2nd vehicle to 3rd vehicle then it will become

{( 4×3×2×1) +1 }ways.

And the same thing repeat with 2nd and third vehicles.

So, total number of ways = 3 ×  {( 4×3×2×1) +1 }ways.

                                         = 3 × 25

                                         = 75 ways.

Therefore, the total number of ways of going by the vehicles = 75 ways.

THANKS.

#SPJ3.

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