1
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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 :

A
79
B
84
C
89
D
86
2
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is :

A
400
B
472
C
507
D
432
3
JEE Main 2023 (Online) 25th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 without repetition, is :

A
120
B
6
C
72
D
12
4
JEE Main 2023 (Online) 25th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$\sum\limits_{k = 0}^6 {{}^{51 - k}{C_3}} $$ is equal to :

A
$$\mathrm{{}^{51}{C_4} - {}^{45}{C_4}}$$
B
$$\mathrm{{}^{51}{C_3} - {}^{45}{C_3}}$$
C
$$\mathrm{{}^{52}{C_3} - {}^{45}{C_3}}$$
D
$$\mathrm{{}^{52}{C_4} - {}^{45}{C_4}}$$
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