K-permutations + multiplication principle - practice problems - page 7 of 14
Number of problems found: 261
- Three-digit number creation
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Five-digit number creation How many five-digit numbers do we create from digits 1, 2, and 3?
- Symbolo cards
Peter got a card game for his birthday. On each card there are three symbols. For the cards and symbols the following rules apply: • each symbol is on three cards, • each two cards have exactly one common symbol, • for each pair of symbols, a card can be - Number 4 Camilla wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
- Double-digit number creation 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 match calculation
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - 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 the President, Vice-President, Secretary, and Treasurer be selected? - Prize award ways
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Ball selection probability
There are 16 balls in a box: 7 white and 9 blue. Two balls are drawn at random. What is the probability that both selected balls are white? - Number combination 1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25
- Hotel room numbering
In the hotel, the room numbers are indicated by a 3-digit number and one of the letters A B. The first digit indicates the floor number. How many rooms can they have in the hotel? - Team combination calculation
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain. - Probability
A man had 4 coins, some worth $2 and some worth $1. Each coin had a number on one side and a picture on the other. The man flipped them, and the sum of the numbers showing on top was 1. The probability of this happening was 1/8. What was the probability t - Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - You have
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer? - Variation element increase
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Coffe cups
We have 4 cups, each with a different pattern. How many different arrangements of the 4 cups are possible? - Team selection ways
Seven people need to be selected from the sports club, where 11 men and nine women. How many ways can we do this if seven women are on the team? - Book shelf positions
How many positions are there to store three books on the shelf?
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