Natural numbers + variations - practice problems - page 5 of 6
Number of problems found: 110
- Coffe cups
We have 4 cups with four different patterns. How many possible combinations can we create from 4 cups?
- Bookshelf and books
How many ways can we place seven books on a bookshelf?
- Five-digit numbers
How many different five-digit numbers can be created from the number 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
- Four-member team
There are 14 girls and 11 boys in the class. How many ways can a four-member team be chosen so that there are exactly two boys in it?
- Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have?
- Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
- Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural 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?
- 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?
- 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 7.
- 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?
- Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Probability 72324
When entering the PIN code, we used the digits 2, 3, 4, 5, and 7 only once. What is the probability that someone will guess our PIN code on the first try?
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