JEE Main 2023 (Online) 24th January Morning Shift | Binomial Theorem Question 46 | Mathematics

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JEE Main 2023 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

-1

The value of $$\sum\limits_{r = 0}^{22} {{}^{22}{C_r}{}^{23}{C_r}} $$ is

$${}^{44}{C_{23}}$$

$${}^{45}{C_{23}}$$

$${}^{44}{C_{22}}$$

$${}^{45}{C_{24}}$$

JEE Main 2022 (Online) 29th July Evening Shift

MCQ (Single Correct Answer)

-1

$$\sum\limits_{r=1}^{20}\left(r^{2}+1\right)(r !)$$ is equal to

$$22 !-21 !$$

$$22 !-2(21 !)$$

$$21 !-2(20 !)$$

$$21 !-20$$ !

JEE Main 2022 (Online) 28th July Morning Shift

MCQ (Single Correct Answer)

-1

The remainder when $$7^{2022}+3^{2022}$$ is divided by 5 is :

JEE Main 2022 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

The remainder when $$(2021)^{2022}+(2022)^{2021}$$ is divided by 7 is

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