Combinations problems and word problems
Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..
Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..Question 7
Question: Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Find the number of words which have atleast one letter repeated. Answer: Total number of 5 letter words from given 10 letters = 10 5 (if ..
Properties of Inverse of Matrix
In other words, a square matrix A is invertible if and only if A is a non-singular matrix. (c) If A and B are invertible square matrices, then (AB) - 1 = B - 1 A - 1 (d) If A and B are two non-singular square matrices of the same order, then AB and BA are also non-singular matr..
In other words, a square matrix A is invertible if and only if A is a non-singular matrix. (c) If A and B are invertible square matrices, then (AB) - 1 = B - 1 A - 1 (d) If A and B are two non-singular square matrices of the same order, then AB and BA are also non-singular matr..Matrices and Determinants Summary
[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..
[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..Describe in words the distance and direction of the translation repres..
Describe in words the distance and direction of the translation represented by the vector <4, - 11>. => 4 units up and 11 units left or 4 units down and 11 units right or 4 units left and 11 units up or 4 units right and 11 units down..
A translation is also called as _______.
A translation is also called as _______. => flip or turn or slide or None of the above..
Translation of Axes
An equation corresponding to a set of points with reference to a system of coordinate axes may be simplified by taking the set of points in some other suitable coordinate system, such that all geometrical properties remain unchanged. One such transformation is that in which the new axes are t..
Identify the shape that is translation of ABCD.
Identify the shape that is translation of ABCD. => PQRS or PQRS and KLMN or KLMN or EFGH..
Which figure is a translation of the trapezoid shown?
Which figure is a translation of the trapezoid shown? => Figure 2 or Figure 3 or Figure 1 or Figure 4..
Which figure is a translation of the pentagon shown?
Which figure is a translation of the pentagon shown? => Figure 1 or Figure 2 or Figure 3 or Figure 4..
Result
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