1
JEE Main 2024 (Online) 1st February Morning Shift
Numerical
+4
-1
Change Language
The number of elements in the set $\mathrm{S}=\{(x, y, z): x, y, z \in \mathbf{Z}, x+2 y+3 z=42, x, y, z \geqslant 0\}$ equals __________.
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2
JEE Main 2024 (Online) 31st January Morning Shift
Numerical
+4
-1
Change Language

The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' taken four at a time, is equal to __________.

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3
JEE Main 2024 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language

In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections : $$A, B$$ and $$C$$. A student is required to attempt total 15 questions taking at least 4 questions from each section. If section $$A$$ has 8 questions, section $$B$$ has 6 questions and section $$C$$ has 6 questions, then the total number of ways a student can select 15 questions is __________.

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4
JEE Main 2024 (Online) 29th January Morning Shift
Numerical
+4
-1
Change Language

All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a dictionary. The serial number of the word "GTWENTY" is _________.

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