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Mr. and Mrs. Lopez have two children. When they get into their family

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Bunuel
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Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   26 Mar 2019, 05:32
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Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?

(A) 4
(B) 12
(C) 16
(D) 24
(E) 48
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B
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Lampard42
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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   26 Mar 2019, 05:41
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How do we understand whether children are distinguishable and whether the placement in the back seats matter (whether back left seat is different from back right seat)

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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   26 Mar 2019, 11:39
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Bunuel wrote:
Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?

(A) 4
(B) 12
(C) 16
(D) 24
(E) 48


for driver seat ; 2c1 and rest seats 3! ways
so total 2c1*3! ; 12
IMO b
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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   17 Sep 2019, 02:38
Archit3110, Bunuel My question is same as asked by arvind42:

How do we understand whether children are distinguishable and whether the placement in the back seats matter (whether back left seat is different from back right seat)

Can you please explain?
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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   17 Sep 2019, 11:35
consider two cases,
case 1: - Mr is in driver's seat. so 3 seats can be occupied by remaining 3 people in 3! ways = 6
case 2: Mrs is in driver's seat. so again 3 seats can be occupied by remaining 3 people in 3! ways = 6

total = 12
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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   19 Sep 2019, 11:15
Approach:

Number of ways to select the driver(Mr. or Mrs. Lopez): 2C1 = 2
Number of ways to select other 3 seats' passengers: 3! = 6

Total number of ways: 2*6 = 12

Option B
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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   21 Sep 2019, 12:23
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Bunuel wrote:
Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?

(A) 4
(B) 12
(C) 16
(D) 24
(E) 48


We have two options for the driver’s seat and then 3! = 6 options for the remaining 3 seats, for a total of 12 options.

Answer: B
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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink] New post   28 Mar 2024, 17:59
Hello from the GMAT Club BumpBot!

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Re: Mr. and Mrs. Lopez have two children. When they get into their family [#permalink]
28 Mar 2024, 17:59
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