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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 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..
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 ..
Jeff wants to measure the perimeter of his dictionary. The dictionary ..
Jeff wants to measure the perimeter of his dictionary. The dictionary is 13 in. long and 10 in. wide. What is its perimeter? => 23 in. or 130 in. or 46 in. or 36 in...
The price of a new version of Dictionary was 125% of the price of ..
The price of a new version of Dictionary was 125% of the price of the original version. The cost of the original version of the Dictionary was $60. What would be the cost of the new version of the Dictionary? => $75 or $65 or $90 or $85..
The word DICE has _________line of symmetry.
The word DICE has _________line of symmetry. => Vertical or Horizontal..
Choose the word for 9.
Choose the word for 9. => seven or nine or two..
Select the correct word.
Select the correct word. => Even or Odd or I don′t know...
Choose the correct word.
Choose the correct word. => I don′t know. or Even or Odd..
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