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In a shopping mall, 7 elevators are installed exclusively for moving between the ground and first floors (4 moving upwards, 3 downwards) and 5 between the first and second floors (2 upwards, 3 downwards). Considering that Liza has to shop on every floor, in how many ways can she perform her journey to the top floor and back?
  • a)
    4 × 2 × 3 × 3
  • b)
    4! × 2! × 2 × 3!
  • c)
    2 × 3! × 4 × 2
  • d)
    7! × 5!
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a shopping mall, 7 elevators are installed exclusively for moving b...
To find the number of ways Liza can perform her journey, we need to consider the number of choices she has at each floor.

Starting from the ground floor, she has 4 elevators to choose from to go to the first floor.

Once on the first floor, she has 2 elevators to choose from to go to the second floor.

To go back down from the second floor, she has 3 elevators to choose from to go to the first floor.

Finally, she has 3 elevators to choose from to return to the ground floor.

Therefore, the total number of ways she can perform her journey is 4 * 2 * 3 * 3 = 72.

So the answer is 72.

Therefore, option a) 4 is incorrect.
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In a shopping mall, 7 elevators are installed exclusively for moving between the ground and first floors (4 moving upwards, 3 downwards) and 5 between the first and second floors (2 upwards, 3 downwards). Considering that Liza has to shop on every floor, in how many ways can she perform her journey to the top floor and back?a)4 × 2 × 3 × 3b)4! × 2! × 2 × 3!c)2 × 3! × 4 × 2d)7! × 5!Correct answer is option 'A'. Can you explain this answer?
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