JEE Main 2022 (Online) 28th June Evening Shift | Permutations and Combinations Question 79 | Mathematics

The number of ways to distribute 30 identical candies among four children C₁, C₂, C₃ and C₄ so that C₂ receives at least 4 and at most 7 candies, C₃ receives at least 2 and at most 6 candies, is equal to :

205

615

510

430

JEE Main 2022 (Online) 28th June Morning Shift

MCQ (Single Correct Answer)

-1

The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is :

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)

-1

Let P₁, P₂, ......, P₁₅ be 15 points on a circle. The number of distinct triangles formed by points P_i, P_j, P_k such that i +j + k $$\ne$$ 15, is :

419

443

455

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-1

If $${}^n{P_r} = {}^n{P_{r + 1}}$$ and $${}^n{C_r} = {}^n{C_{r - 1}}$$, then the value of r is equal to :

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