>
Exams
>
Mathematics
>
Matrices
>
if the set x contains 7 elements and set y contain
Question:
If the set x contains 7 elements and set y contains 8 elements, then the number of bijections from x to y is
KCET - 2022
KCET
Updated On:
Apr 1, 2025
0
7!
\(^{8}P_{7}\)
8!
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct answer is (A) : 0
Download Solution in PDF
Was this answer helpful?
0
1
Top Questions on Matrices
Four friends Abhay, Bina, Chhaya, and Devesh were asked to simplify \( 4 AB + 3(AB + BA) - 4 BA \), where \( A \) and \( B \) are both matrices of order \( 2 \times 2 \). It is known that \( A \neq B \) and \( A^{-1} \neq B \). Their answers are given as:
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
Given
\[ A = \begin{bmatrix} -4 & 4 & 4 \\ -7 & 1 & 3 \\ 5 & -3 & -1 \end{bmatrix}, \quad B = \begin{bmatrix} 1 & -1 & 1 \\ 1 & -2 & -2 \\ 2 & 1 & 3 \end{bmatrix} \] find \( AB \). Hence, solve the system of linear equations: \[ x - y + z = 4, \] \[ x - 2y - 2z = 9, \] \[ 2x + y + 3z = 1. \]
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
If
\[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
Assertion (A):
\( A = \text{diag} [3, 5, 2] \) is a scalar matrix of order \( 3 \times 3 \).
Reason (R):
If a diagonal matrix has all non-zero elements equal, it is known as a scalar matrix.
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
If \( A \) and \( B \) are square matrices of order \( m \) such that \( A^2 - B^2 = (A - B)(A + B) \), then which of the following is always correct?
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
View More Questions
Questions Asked in KCET exam
The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \( 0 \leq t \leq 20 \, \text{s} \) is
KCET - 2024
Current electricity
View Solution
A die is thrown 10 times. The probability that an odd number will come up at least once is:
KCET - 2024
Probability
View Solution
The incorrect statement about the Hall-Heroult process is:
KCET - 2024
General Principles and Processes of Isolation of Elements
View Solution
Corner points of the feasible region for an LPP are $(0, 2), (3, 0), (6, 0), (6, 8)$ and $(0, 5)$. Let $z = 4x + 6y$ be the objective function. The minimum value of $z$ occurs at:
KCET - 2024
Linear Programming Problem
View Solution
If a random variable $X$ follows the binomial distribution with parameters $n = 5$, $p$, and $P(X = 2) = 9P(X = 3)$, then $p$ is equal to:
KCET - 2024
binomial distribution
View Solution
View More Questions