Combinatorial number - practice problems - page 9 of 15
Number of problems found: 296
- Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread? - Cube construction
A 2×2×2 cube will be constructed using four white and four 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 four girls in each group. How many ways can this be done? - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has three children. What is the probability of this family having one child who inher - Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient testing positive for malaria is 0.6. What is the probability that two patients were selected at random (i) one is negative while the other tested positive (i) both pa - Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen? - Opportunities 8372
There are 20 students in the class, four of them are being tested by the teacher. How many options are there to choose who the teacher will test?
- Triangles 8306
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long. - Menu
There are 12 kinds of meals on the menu. How many ways can we choose four different meals for the daily menu? - STRESSED word
Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled. - 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 - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.)
- 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? - Tournament 7975
Eight players took part in the table tennis tournament. The tournament system allows players to play with each other only once. How many matches will take place in this tournament? - A pizza
A pizza place offers 14 different toppings. How many different three-topping pizzas can you order? - Family
Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - 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?
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