1
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1

Let A be a 3 $$\times$$ 3 matrix having entries from the set {$$-$$1, 0, 1}. The number of all such matrices A having sum of all the entries equal to 5, is ___________.

2
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1

The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is _____________.

3
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, $$-$$2 marks for each wrong answer and 0 mark if the question is not attempted. Then, the number of ways a student appearing in the examination gets 5 marks is ____________.

4
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial number of the word FARMER in this list is ___________.