Do you want to learn how to solve Combinatorial Analysis questions that appear in ENEM? In this Math video lesson, you will learn a part of Math that appears a lot in ENEM: Combinatorial Analysis. I will show you how to solve questions about multiplicative principle, arrangement and combination that have already appeared in ENEM. To download the material in PDF format to practice, click on the link below. SUBSCRIBE TO THE CHANNEL AND LEAVE A LIKE to strengthen the list link: https://thyagoaraujo.com/listas-de-qu... Study with me and be successful in Math. ONLINE MATHEMATICS PLATFORM: https://www.thyagoaraujo.com Follow us on social media: ► Instagram: / escoladenumeros ► Twitter: / escoladenumeros Solved questions from previous ENEM exams 01. (ENEM-2013) A bank asked its customers to create a personal six-digit password, consisting only of the numbers 0 to 9, to access their checking account online. However, an electronic security systems specialist recommended that the bank's management re-register its users, asking each of them to create a new six-digit password, now allowing the use of the 26 letters of the alphabet, in addition to the numbers 0 to 9. In this new system, each uppercase letter was considered distinct from its lowercase version. In addition, the use of other types of characters was prohibited. One way to evaluate a change in the password system is to check the improvement coefficient, which is the ratio of the new number of possible passwords in relation to the old one. The improvement coefficient of the recommended change is: a) 62^6/10^6 b) 62!/10! c) 62! 4!/10! 56! d) 62!-10! e) 62^6-10^6 02. (ENEM-2017) As they are not fans of sports, a group of friends decided to have a soccer tournament using a video game. They decided that each player would play only once with each of the other players. The champion would be the one who gets the most points. They noticed that the number of games played depends on the number of players, as shown in the table: If the number of players is 8, how many games will be played? a) 64 b) 56 c) 49 d) 36 e) 28 03. (ENEM-2015) A family of seven adults, after deciding on their travel itinerary, consulted an airline's website and found that the flight for the chosen date was almost full. In the figure, provided by the website, the occupied seats are marked with X and the only available seats are those shown in white. The number of different ways to accommodate the family on this flight is calculated by a) 9!/2! b) 9!/(7!×2!) c) 7! d) 5!/2!×4! e) 5!/4!×4!/3! 04. (ENEM-2016) To stimulate his daughter's reasoning, a father made the following drawing and gave it to the child along with three different colored pencils. He wants the girl to color only the circles, so that those that are connected by a segment have different colors. In how many different ways can the child do what his father asked? a) 6. b) 12. c) 18. d) 24. e) 72. 05. (ENEM-2013) A jewelry artisan has at his disposal Brazilian stones of three colors: red, blue and green. He intends to produce jewelry made of a metal alloy, from a mold in the shape of a non-square diamond with stones at its vertices, so that two consecutive vertices always have stones of different colors. The figure illustrates a jewel, produced by this artisan, whose vertices A, B, C and D correspond to the positions occupied by the stones. Based on the information provided, how many different jewels, in this shape, can the artisan obtain? a) 6 b) 12 c) 18 d) 24 e) 36