New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Permutations and Combinations question

2025 · 8 Apr · Shift 2 · Q41

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Permutations and Combinations
2025 · 8 Apr · Shift 2 · Q41

Permutations and Combinations question

2025 · 8 Apr · Shift 2 · Q41

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1

There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total number of triangles that can be formed with the vertices at any three of these 12 points is

A
230
B
210
C
200
D
220

More from Permutations and Combinations

From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter is ' M ', is :2025 · MCQ
In a group of 3 girls and 4 boys, there are two boys $B_{1}$ and $B_{2}$ . The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but $B_{1}$ and $B_{2}$ are not…2025 · MCQ
The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is :2025 · MCQ
The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is .2025 · Numerical
The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is .2025 · Numerical
Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group $A$ and the remaining 3 from group $B$ , is equal to :2025 · MCQ
Number of functions $f : {1, 2, \dots, 100} \to {0, 1}$ , that assign 1 to exactly one of the positive integers less than or equal to 98 , is equal to .2025 · Numerical
Let $^{n} C_{r - 1} = 28,^{n} C_{r} = 56$ and $^{n} C_{r + 1} = 70$ . Let $A (4 cost, 4 sin t), B (2 sin t, - 2 cos t)$ and $C (3 r - n, r^{2} - n - 1)$ be the vertices of a triangle $A B C$ , where $t$ is a parameter. If $(3 x - 1)^{2} + (3 y)^{2} = α$ …2025 · MCQ