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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..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 ..There are some big and some small buttons in the figure. Write the rat..
There are some big and some small buttons in the figure. Write the ratio of big buttons to total buttons. => 1 : 2 or 4 : 5 or 4 : 9 or 5 : 9..
Which question can be answered by writing a word or words?
Which question can be answered by writing a word or words? => How many of the pets you have are male? or Which color do you like the most? or How many times did you visit your aunt this month? or How many math problems have you completed yesterday?..
The word DICE has _________line of symmetry.
The word DICE has _________line of symmetry. => vertical or horizontal..
Choose the correct word.
Choose the correct word. => Odd or I don′t know. or Even..
Choose the correct word.
Choose the correct word. => Even or I don′t know. or Odd..
Choose the correct word.
Choose the correct word. => I don′t know. or Even or Odd..
Result
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