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JEE Main 2026 Apr 6 Shift 2, Mathematics Q7: Combinations

JEE Main2026Apr 6, Shift 2Mathematics
Q.

A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th floor. The number of ways, in which any 4 persons exit at a floor and the remaining 5 persons exit at a different floor, if the lift does not stop at the first and the second floors, is equal to:

  1. A

    2184

  2. B

    3064

  3. C

    7056

  4. D

    11340

Solution

Step 1. Choose which 4 of the 9 persons form the group of four: .

Step 2. The lift can stop only on floors (8 available floors). Choose two distinct floors for the two groups: ways, then assign which group exits at which floor: ways.

Total .

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