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  • A double decker bus consists of two floors with five seats on each floor. Two old people refuse to go upstairs while 3 children refuse to sit down stairs, while 5 adults may take any seat. The tota

A double decker bus consists of two floors with five seats on each floor. Two old people refuse to go upstairs while 3 children refuse to sit down stairs, while 5 adults may take any seat. The total number of ways in which they can be seated is

Option: 1

^{5}C_2 \times 2! + ^{5}C_2 \times 3! \times 5!
 


Option: 2

^{5}C_2 \times ^{5}C_3 \times ^{5}C_3 \times 5! \times 5!


Option: 3

10! -5!

 


Option: 4

5!\times 5!\times \: ^{5}C_2


Answers (1)

best_answer

Answer (4)

Number of arrangement for sitting 2 old people

^{5}C_2 \times 2!

Number of arrangement for sitting 3 children

^{5}C_2 \times 3!

for\; rest \;5 \;people = 5!
    \\Total \;arrangements=^{5}C_2\times \;2! \times ^{5}C_3\times\;3! \: \times 5!\\
                                                    5! \;5! \: ^{5}C_2

Posted by

Ritika Kankaria

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