Latest Accenture Aptitude Question SOLUTION: A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

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A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

Asked In Accenture (12 years ago)

Solved Dr.Dipin Singh Read Solution (6)

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Dr.Dipin Singh  (12 years ago) Best Solution

They can travel 4+4 or 5+3 in 2 cars.

8c4 + 8c5 = 70+56 = 126 ways

Is this solution Helpfull? Yes (18) | No (6)  

Sumit Gupta  (11 years ago)

There are 8 students and the maximum capacity of the cars together is 9.

We may divide the 8 students as follows

Case I: 5 students in the first car and 3 in the second

Or Case II: 4 students in the first car and 4 in the second

Hence, in Case I: 8 students are divided into groups of 5 and 3 in 8C3 ways.

Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4 ways.

Therefore, the total number of ways in which 8 students can travel is 8C3 + 8C4 = 56 + 70 = 126.

Is this solution Helpfull? Yes (18) | No (4)  

sachin kumar  (11 years ago)

total no of ways=8c5*8c3+8c4*8c4

Is this solution Helpfull? Yes (6) | No (14)  

Mayank Kumar  (8 years ago)

Ans= 126 ways

Is this solution Helpfull? Yes (1) | No (2)  

MURUGESAN.P  (9 years ago)

hello mr.sumit gupta,

i am at big confusion after looking this problem.could you please explain me clearly

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soujanya  (9 years ago)

hi friends can any one please explain me the solution.
thanks in advance.

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