Natural numbers + variations - practice problems - page 5 of 6
Number of problems found: 104
- Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Notation 7014
There is no 0 in the decimal notation in natural numbers, and there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers. - 6-digit 35541
How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers? - Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there?
- Assemble 6449
How many natural numbers less than 400 can I assemble if the numbers do not repeat? - Two-digit 3456
Write all the two-digit numbers that can be composed of the digit 7,8,9 without repeating the digits. Which ones are divisible b) two, c) three d) six? - Different 35501
Dana received four new books. How many different orders can she read them? - Binary words
How many 10-bit words can be created with precisely four units (e.g., 1111000000)? - A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 4.
- No. of divisors
How many different divisors have number 13 4 * 2 4? - How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - Variations 26791
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? - Probability 72324
We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try? - Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options.
- PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by number one and by itself. • The first digit is larger than the second. • The second digit is gre - 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 58943
The vortex of the three given digits formed different three-digit numbers. When she added up all these numbers, she published 1554. What numbers did Vierka use? - Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1,8,7,4,9? - Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes that are greater than 2000 and divisible by 4 are possible?
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