New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Permutations and Combinations question

2025 · 2 Apr · Shift 2 · Q28

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

PYQ Library
JEE Main
Mathematics
Permutations and Combinations
2025 · 2 Apr · Shift 2 · Q28

Permutations and Combinations question

2025 · 2 Apr · Shift 2 · Q28

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1

The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure below so that no row remains empty and at most one letter can be placed in a box, is : JEE Main 2025 (Online) 2nd April Evening Shift Mathematics - Permutations and Combinations Question 6 English

JEE Main 2025 (Online) 2nd April Evening Shift Mathematics - Permutations and Combinations Question 6 English

A
5880
B
840
C
960
D
5760

More from Permutations and Combinations

All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the word at serial number $n$ be denoted by $W_{n}$ . Let the probability $P (W_{n})$ …2025 · Numerical
If the number of seven-digit numbers, such that the sum of their digits is even, is $m \cdot n \cdot 1 0^{n}; m, n \in {1, 2, 3, \dots, 9}$ , then $m + n$ is equal to 2025 · Numerical
Line $L_{1}$ of slope 2 and line $L_{2}$ of slope $\frac{1}{2}$ intersect at the origin O . In the first quadrant, $P_{1}$ , $P_{2}, \dots, P_{12}$ are 12 points on line $L_{1}$ and $Q_{1}, Q_{2}, \dots, Q_{9}$ are 9 points on line $L_{2}$ . Then…2025 · MCQ
Let m and $n, (m < n)$ , be two 2-digit numbers. Then the total numbers of pairs $gcd (m, n) = 6$ , such that $gcd (m, n) = 6$ , is .2025 · Numerical
From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be…2025 · MCQ
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 is2025 · MCQ
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