JEE Main 2023 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 13 April 2023, Shift 1, Maths Q5

Question 5 of 90 in this shift, Maths question 5 of 30, Section A.

The number of symmetric matrices of order 3, with all the entries from the set

\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}

, is

(1) $10^9$
(2) $9^{10}$
(3) $10^6$ Official answer
(4) $6^{10}$

Official answer

Option 3

NTA final key.

Chapter: Matrices
Topic: Permutations and Combinations
Idea tested: Permutations with Repetition

Same idea in other shifts

Asked 11× in all

15 Apr 2023, Shift 1 · Q6The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is…MediumSingle correct
26 Jul 2022, Shift 1 · Q22The number of 5-digit natural numbers, such that the product of their digits is 36, is __________.MediumNumerical value
29 Jul 2022, Shift 2 · Q24The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2, 3, 4, 5, 6 (repetition of digits is not…MediumNumerical value
24 Jun 2022, Shift 1 · Q22In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each…MediumNumerical value
3 Aug 2021, Shift 1 · Q83If the number of permutations of the word “STATISTICS” in which all ‘S’ do not come together, is $(56)^2 k$ , then ‘ $k$ ’ is equal to…MediumNumerical value
3 Aug 2021, Shift 2 · Q82If six letter words (with or without meaning) are formed using A, B, C, D, E and F, then the number of words, in which exactly one of…MediumNumerical value
4 Aug 2021, Shift 1 · Q83Each of the numbers 1, 0, -1 is written on two different opposite faces of a six foces fair die. This die is thrown three times. The…MediumNumerical value
26 Feb 2021, Shift 2 · Q73A seven digit number is formed using digits $3, 3, 4, 4, 4, 5, 5$ . The probability, that number so formed is divisible by $2$ , is :MediumSingle correct

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.