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a van has eight seats, two at the front, a row of three in the middle and a row

ID: 3068726 • Letter: A

Question

a van has eight seats, two at the front, a row of three in the middle and a row of three at the back. if only 5 out of a group of 8 people can drive, in how many different ways can they be arranged in the car? a van has eight seats, two at the front, a row of three in the middle and a row of three at the back. if only 5 out of a group of 8 people can drive, in how many different ways can they be arranged in the car? a van has eight seats, two at the front, a row of three in the middle and a row of three at the back. if only 5 out of a group of 8 people can drive, in how many different ways can they be arranged in the car?

Explanation / Answer

Answer:

Here we had 8 seats and 8 people.

one seat out of 8 is a driver seat. Here only 5 (people who can drive are allowed to sit) are allowed for driver seat.

For driver seat arrangement = 5 C 1= 56

for remaining 7 seats arrangement. Except driving person . So we have 7 seats for 7 people

Arrangement = 7!

Total Arrangement = 5 * 7!