Selection of One or More Objects

JEE Main Mathematics · Permutations and Combinations · 5 questions, latest first

• Let S be the set of the first 11 natural numbers. Then the number of elements in A={B ⊆ S: n(B) ≥ 2 and the product of all…202622 January, Shift 2 · Q22
• For n ≥ 2, let S_n denote the set of all subsets of {1,2, …, n} with no two consecutive numbers. For example {1,3,5} ∈ S_6, but…20257 April, Shift 1 · Q21
• Let S={p_1, p_2 …, p_10} be the set of first ten prime numbers. Let A=S ∪ P, where P is the set of all possible products of…202524 January, Shift 1 · Q21
• The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not…20248 April, Shift 2 · Q5
• Let S={1,2,3,5,7,10,11}. The number of non-empty subsets of S that have the sum of all elements a multiple of 3, is ____.202325 January, Shift 1 · Q83