JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q82

Question 82 of 90 in this shift, Maths question 22 of 30, Section B.

If 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 these alphabets is repeated three times and the other three are distinct, is

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Official answer

7200

NTA final key.

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

Same idea in other shifts

Asked 11× in all

13 Apr 2023, Shift 1 · Q5The number of symmetric matrices of order 3, with all the entries from the set $\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$ , isEasySingle correct
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
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.