Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A∶ Total number of ways in which 6 persons traveling in the train can deboard at 4 stations (Assuming that only one-person deboards at each of the first three stations and 3 persons deboard at last station) Quantity B∶ 85/3?

Question

Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A∶ Total number of ways in which 6 persons traveling in the train can deboard at 4 stations (Assuming that only one-person deboards at each of the first three stations and 3 persons deboard at last station) Quantity B∶ 85/3?

Quantity A > Quantity B
Quantity A < Quantity B
Quantity A = Quantity B
No relation can be established
Quantity A ≤ Quantity B

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 1 : Quantity A > Quantity B

Quantity A∶ Total number of ways in which 6 persons travelling in train can deboard at 4 stations

Total number of ways in which persons can deboard at 1^st station = 6

Total number of ways in which persons can deboard at 2^nd station = 5

Total number of ways in which persons can deboard at 3^rd station = 4

Total number of ways in which persons can deboard at 4^th station = 1 (all 3 remaining have to deboard now, only way to do so)

Total number of ways = 6 × 5 × 4 × 1 = 120

⇒ P = 120

Quantity B∶ 8^5/3= 2⁵ = 32

∴ Quantity A > Quantity B