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Friday, 9 October

JEE Main 2017 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 2 April 2017 (offline), Maths Q66

Question 66 of 90 in this shift, Maths question 6 of 30.

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is :
  1. (1)468
  2. (2)469
  3. (3)484
  4. (4)485Official answer

Official answer

Option 4

CBSE answer key (25/04/2017, used for result).

Chapter
Permutations and Combinations
Topic
Permutations and Combinations
Idea tested
Combinations of Distinct Objects

Same idea in other shifts

Asked 7× in all
  1. 5 Apr 2026, Shift 1 · Q22Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends…MediumNumerical value
  2. 5 Apr 2026, Shift 2 · Q9A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :MediumSingle correct
  3. 6 Apr 2026, Shift 1 · Q7The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the…MediumSingle correct
  4. 7 Apr 2025, Shift 1 · Q8From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4…MediumSingle correct
  5. 25 Jul 2021, Shift 1 · Q89There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be…HardNumerical value
  6. 8 Jan 2020, Shift 1 · Q75An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that at the…EasyNumerical value

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.