# Multiplication principle - high school - math problems

#### Number of problems found: 133

• Three colors Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
• Wedding guests Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.
• School committee 7 students was elected to the school committee. In how many ways can the President, Vice-President, Secretary and Treasurer be selected?
• Big numbers How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
• Tournament How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament?
• Research in school For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
• The test The test contains four questions, and there are five different answers to each of them, of which only one is correct, the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answer
• Fall sum or same Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice.
• Birth Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that in a family with five children, the youngest and oldest child is a boy?
• Divide How many different ways can three people divide 7 pears and 5 apples?
• Possible combinations - word How many ways can the letters F, A, I, R be arranged? How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• Cube construction A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
• Boys and girls There are 20 boys and 10 girls in the class. How many different dance pairs can we make of them?
• Two groups The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done? There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• One three We throw two dice. What is the probability that max one three falls?
• Bookshelf and books How many ways can we place 7 books in a bookshelf? On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?