Combinatorial number + variations - practice problems - page 2 of 3
Number of problems found: 53
- 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. - Triangles 8306
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long.
- 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 - 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? - Created 7758
How many words can be created from the word KLADIVO if we want the word VODA to be written next to each other? - Numbers 7755
How many digits 7 are in numbers from 1 to 777?
- Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t - Five-digit numbers
How many different five-digit numbers can be created from the number 2,3,5 if the number 2 appears in the number twice and the number 5 also twice? - 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: a) only boys went on the field trip b) just 2 boys went on the field trip - 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 students prefer to work in Mumbai, while three prefer to work outside. How many ways can assignments - Sweater
Dana confuses me that sweaters and wool have a choice of seven colors. In how many ways can she choose from three colors for the sleeves?
- Ribbons 6640
Danka knits a sweater and has a choice of seven colors. a) How many ways can he choose three colors for the sleeves? b) He wants ribbons of four colors on his back. How many options does he have to choose from? - Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other? - Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)? - Sum or product
What is the probability that two dice fall will have the sum of seven or product 12? - Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line?
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