Jake, Lena, Fred, and Inna need to drive home from a corporate reception in an SUV that can seat 7 ...
Jake, Lena, Fred, and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Answer/Solution
240
Steps/Work
4 people ,7 seats, only 2 can drive
if inna is in one seat remaining, 3 people can be arranged in 3p3 i.e 3! =6 ways
since any one can drive total ways = 6 *2= 12 ways
4 seats can be chosen out of remaining 6 seats in 6c3 ways = 6!/(3!*2!)= 20 ways
12*20=240
D
if inna is in one seat remaining, 3 people can be arranged in 3p3 i.e 3! =6 ways
since any one can drive total ways = 6 *2= 12 ways
4 seats can be chosen out of remaining 6 seats in 6c3 ways = 6!/(3!*2!)= 20 ways
12*20=240
D