# Combinatorial number + multiplication principle - math problems

#### Number of problems found: 59

• Two-element combinations Write all two-element combinations from elements a, b, c, d.
• 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
• Divide How many different ways can three people divide 7 pears and 5 apples? 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. )
• 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. On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
• Classroom Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
• Three workplaces How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
• Boys and girls There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
• Each with each Five pupils from 3A class played table tennis. How many matches did they play with each other?
• A student A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 ques
• Families 2 There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys.
• Boys and girls There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
• Mumbai A job placement agency in Mumbai had to send ten students to five companies two to each. Two of the companies are in Mumbai and others are outside. Two of the students prefer to work in Mumbai while three prefer to work outside. In how many ways assignmen
• A book A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
• Peaches There are 20 peaches in the pocket. 3 peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
• Sweater Dana confuses sweater and wool has a choice of seven colors. In how many ways she can choose from three colors to the sleeves?

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