JEE Main 2023 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 8 April 2023, Shift 1, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let the number of elements in sets

A

and

B

be five and two respectively. Then the number of subsets of

A \times B

each having at least 3 and at most 6 elements is :

(1) $792$ Official answer
(2) $772$
(3) $752$
(4) $782$

Official answer

Option 1

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Selection of One or More Objects

Same idea in other shifts

Asked 4× in all

8 Apr 2024, Shift 2 · Q5The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not necessarily…HardSingle correct
30 Jan 2024, Shift 2 · Q23In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections : $A$ ,…MediumNumerical value
27 Aug 2021, Shift 2 · Q82Let $S = \{1, 2, 3, 4, 5, 6, 9\}$ . Then the number of elements in the set $T = \{A \subseteq S : A \neq \phi$ and the sum of all the…HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.