Variations - practice for 14 year olds - page 3 of 9
Number of problems found: 165
- Hockey Championships
At the 2021 World Hockey Championships, there are eight teams in Group A, each playing seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are there possi - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Tic-tac-toe
In how many ways could 9 participants of the school round of five-in-a-row win the first three places? - Permutations 46323
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place.
- Zubrohlava 39643
There are one asphalt road, two forest roads, and one bike path from Zubrohlava to Bobrov. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options. - Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6? - Possibilities 38143
How many possibilities have residents of MISSISSIPPI state to choose their country's name if they have to use all the letters? - Qualifying 37483
There are five good teams in the qualifying group for the World Cup. How many different orders can occur? - Divided 37473
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided?
- Five-digit 37121
How many different five-digit numbers can we create from digits 4 and 5? - Sequentially 35731
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket? - Different 35501
Dana received four new books. How many different orders can she read them? - Five-digit 35261
How many five-digit numbers do we create from digits 1, 2, and 3? - Double-digit 33471
How many double-digit numbers greater than 60 can we make from digits 0,5,6,7,8,9? The numerals must not be repeated.
- Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - School committee
Seven students were elected to the school committee. How many ways can become the President, Vice-President, Secretary, and Treasurer be selected? - Participants 31351
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Probability 31101
There are 16 balls in the box, of which seven are white, and nine are blue. We randomly select two balls. What probability will there be exactly two white balls among the selected ones?
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