JEE Main 2023 (Online) 6th April Evening Shift | Permutations and Combinations Question 33 | Mathematics

All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is :

578

576

580

582

JEE Main 2023 (Online) 1st February Morning Shift

MCQ (Single Correct Answer)

-1

The value of $$\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots .+\frac{1}{49 ! 2 !}+\frac{1}{51 ! 1 !}$$ is :

$$\frac{2^{51}}{50 !}$$

$$\frac{2^{51}}{51 !}$$

$$\frac{2^{50}}{50 !}$$

$$\frac{2^{50}}{51 !}$$

JEE Main 2023 (Online) 30th January Evening Shift

MCQ (Single Correct Answer)

-1

The number of ways of selecting two numbers $a$ and $b, a \in\{2,4,6, \ldots ., 100\}$ and $b \in\{1,3,5, \ldots . ., 99\}$ such that 2 is the remainder when $a+b$ is divided by 23 is :

186

108

268

JEE Main 2023 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

-1

The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is :