JEE Main 13 April 2023, Shift 1, Maths Q22

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

The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits equal to 12 is ________.

Official answer

413

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Multinomial Theorem in Counting

Same idea in other shifts

Asked 2× in all

31 Aug 2021, Shift 2 · Q83If the coefficient of $\mathrm{a}^7\mathrm{b}^8$ in the expansion of $(\mathrm{a}+2\mathrm{b}+4\mathrm{ab})^{10}$ is…MediumNumerical 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.