JEE MAINS PRACTICE · Mathematics
Permutation Combination
492 practice questions for JEE Mains Practice — 197 easy · 200 medium · 95 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The number of three digit numbers which have at least two identical digit, is
MCQ
The num of ways in which four letters can be selected from the word 'DEGREE', is
MCQ
$S=\{1,2,3, \ldots 20\}$ is to be partitioned into four sets $A, B, C$ and $D$ of equal size. The number of ways it can be done, is
MCQ
A letter lock contains 5 rings each marked with four different letters. The number of all possible unsuccessful attempts to open the lock is
MCQ
The number of five digits numbers that can be formed without any restriction is
MCQ
In how many ways, can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?
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
When $5^{20}$ is divided by 7, the remainder 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
Numerical
If $N$ denotes number of 8 digit numbers that contains exactly four nines, then unit digit of $N$ is
MCQ
10 different toys are to be distributed among 10 children. Total number of ways of distributing these toys, so that exactly two children do not get any toy, 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