Variations - practice problems - page 4 of 14
Number of problems found: 280
- Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - School committee
Seven students were elected to the school committee. How many ways can become the President, Vice-President, Secretary, and Treasurer be selected? - One three
We throw two dice. What is the probability that number three falls maximally once? - Practice
How many ways can you place 20 pupils in a row when starting on practice? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors. - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Cars plates
How many different license plates can a country have since they use 3 letters followed by 3 digits? - Area codes
How many 6 digit area codes are possible if the first number can't be zero? - Guests
How many ways can 8 guests sit down on 10 seats standing in a row? - Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - Probability 68564
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll? - 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? - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Girlfriends 4107
Four girlfriends want to take a photo together. How many different ways can they stand side by side? - Themselves 3463
How many different ways can members of a 7-member philatelic circle elect a secretary and a steward from among themselves? - A basket 4
A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges. - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Tic-tac-toe
In how many ways could 9 participants of the school round of five-in-a-row win the first three places?
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