Variations - practice problems - page 9 of 16
Number of problems found: 312
- Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman?
- Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Probability 8801
We roll two different dice. What is the probability that a pair of even numbers will fall?
- Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books".
- Probability - cards
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet?
- Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition?
- Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain?
- Variations 8333
How many elements do we create 90 variations of 2 classes without repeating elements?
- One three
We throw two dice. What is the probability that number three falls maximally once?
- Repetition 8329
How many 5-digit numbers without repetition have the last digit two smaller than the previous one?
- Triangles 8306
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long.
- Possibilities 8237
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C?
- Bookshelf and books
How many ways can we place seven books on a bookshelf?
- 4-digit 8231
How many 4-digit numeric pin codes can be created so that not all four digits are identical?
- A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i.e., home win or away win.
- Necklaces 8006
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create?
- 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?
- Four-digit 7953
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers?
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