Division and Distribution of Distinct Objects

JEE Main Mathematics · Permutations and Combinations · 8 questions, latest first

• A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so…20268 April, Shift 2 · Q9
• 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 10^th…20266 April, Shift 2 · Q7
• Let the set S={2,4,8,16, …, 512} be partitioned into 3 sets A, B, C with equal number of elements such that A ∪ B ∪ C=S and A ∩…20245 April, Shift 2 · Q1
• If n is the number of ways five different employees can sit into four indistinguishable offices where any office may have any…20241 February, Shift 1 · Q4
• Let α=((4!)!)/((4!)^3!) and β=((5!)!)/((5!)^4!). Then:202427 January, Shift 2 · Q5
• Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most…202310 April, Shift 2 · Q5
• Let R={a, b, c, d, e} and S={1,2,3,4}. Total number of onto functions f: R → S such that f(a) ≠ 1, is equal to ____.20238 April, Shift 2 · Q23
• The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is ____20236 April, Shift 1 · Q23