COMBINATORIAL ANALYSIS FGV QUESTIONS

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Professor Micael

Published on Streamed live on May 7, 2022
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Hello, candidate! #publicexams #mathematics #logicalreasoning With this class, you will no longer get a question involving PERMUTATIONS wrong. You know that COMBINATORIAL ANALYSIS is very common in MATHEMATICS and LOGICAL REASONING tests in public exams, and with this method you will GET ALL THE QUESTIONS on this topic ANSWERED. TELEGRAM GROUP: https://t.me/+h34Qr-LVGNw2ZGVh Five people of different heights must occupy the five chairs below for a photograph. HERE IS A FIGURE The photographer asked that neither the shortest nor the tallest occupy the chairs at the ends. Respecting this condition, the number of ways in which people can position themselves for the photograph is A) 12 B) 18 C) 24 D) 36 E) 72 Consider the sequence of 120 anagrams of the word BANCO written in alphabetical order. The anagram CANBO occupies the number position: A) 50 B) 51 C) 52 D) 53 E) 54 Consider all the anagrams of the word BRASIL. The number of anagrams that do not have the vowels together is: A) 720 B) 600 C) 480 D) 240 E) 120 The digits 1, 2, 3, 4, 5 must form a five-digit number so that each of these digits appears once and the even digits are not together. For example, the number 34152 is one of these numbers. The number of numbers that meet these conditions is A) 12 B) 24 C) 36 D) 60 E) 72 The number of anagrams of the word CONCURSO that begin with C or end in O is: A) 1,260; B) 1,440; C) 4,320; D) 5,040; E) 10,080. Four people, Ana, Bia, Celia and Dulce must sit in four of the six armchairs represented in the figure below. HERE IS A FIGURE Knowing that Ana and Bia must sit next to each other, the number of different ways that the four of them can sit in these armchairs is: A) 30 B) 60 C) 80 D) 120 E) 240 Two couples will sit in 4 consecutive chairs in a row at a movie theater. The number of ways they can sit in the 4 chairs, so that each couple sits together, is equal to A) 4 B) 6 C) 8 D) 12 E) 16 Three couples are going to occupy six consecutive chairs in a row at the movies, and the couples do not want to sit separately. Select the option that indicates the number of different ways in which these three couples can occupy the six chairs. A) 6 B) 12 C) 24 D) 36 E) 48 The six letters of the word SENATE must be arranged, without repetitions, in the six rectangles in the following figure: The three consonants must be in the left column and the three vowels in the right column. For example, a possible arrangement is: The number of different ways to do this arrangement is: A) 12 B) 36 C) 9 D) 18 E) 6 Consider the 24 permutations of the letters P, C, E and M. If we put these 24 permutations in alphabetical order, the permutation PCEM will occupy the order position A) 24 B) 21 C) 19 D) 18 E) 17

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