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 :
← JEE Main 2026 · 6 Apr · Shift 2
MathematicsSingle correct+4 / -1Question 7 of 75
JEE Main 2026 · 6 Apr · Shift 2, Mathematics question 7
Answer and worked solution
Official answer: C
Floors available. Floors 3 to 10: 8 floors.
Count.
- Choose the group of 4: .
- Choose different floors for the group of 4 and the group of 5: .
Total: .
(C)