JEE MAINS PRACTICE · Mathematics
Permutation Combination
408 practice questions for JEE Mains Practice — 192 easy · 193 medium · 23 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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Numerical
The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is___
MCQ
The number of three digit numbers which have at least two identical digit, is
MCQ
If $m$ parallel lines in a plane are intersected by a family of $n$ parallel lines, then the number of parallelograms that can be formed is
MCQ
The total number of natural numbers of 6 digits that can be made with digits $1,2,3,4$, if all digits are to appear in the same number at least once, is
MCQ
The number of ways in which a team of 11 player can be selected from 22 players including 2 of them and excluding 4 of them is
MCQ
A five digit number divisible by 3 is to be formed using the digits $0,1,2,3,4$ and 5 , without repetition. The total number of ways this can be done, is
MCQ
Total number of even divisions of 2079000 which are divisible by 15 are
MCQ
The num of ways in which four letters can be selected from the word 'DEGREE', is
MCQ
Total number of polynomials of the form $x^3+a x^2+b x+c$ that are divisible by $x^2+1$, where $a, b, c \in\{1,2,3, \ldots, 10\}$ is equal to
MCQ
Everybody in a room shakes hands with everybody else. The total number of handshakes is 66 . The number of persons in the room is
MCQ
If $P Q R S$ is a convex quadrilateral with $3,4,5$ and 6 points marked on sides $P Q, Q R, R S$ and PS respectively. Then, the number of triangles with vertices on different sides is
MCQ
The number of five digits numbers that can be formed without any restriction is