Three digits number

From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there?

Correct answer:

n =  24

Step-by-step explanation:

$$\begin{gathered} n_3\dots 2,4 \\ {n}_3=2 \\ {n}_2\dots 1,2,3,4,5\cap n_3 \\ {n}_2=5-1=4 \\ {n}_1\dots \mathrm{.}1,2,3,4,5\cap n_2\cap n_3 \\ {n}_1=n_2-1=4-1=3 \\ n=n_1\cdot n_2\cdot n_3=3\cdot 4\cdot 2=24 \end{gathered}$$

Try another example

Related math problems and questions:

• Divisible by five
  How many different three-digit numbers divisible by five can we create from the digits 2, 4, 5? The digits can be repeated in the created number.
• 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?
• Five-digit number
  Anna thinks of a five-digit number that is not divisible by three or four. If he increments each digit by one, it gets a five-digit number that is divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it sw
• Three digits number
  How many are three-digit integers such that they no digit repeats?
• Digits
  How many five-digit numbers can be written from numbers 0.3,4, 5, 7 that is divided by 10 and if digits can be repeated.
• PIN code
  PIN on Michael credit card is a four-digit number. Michael told this to his friend: • It is a prime number - that is, 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 d
• Combinations
  How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7?
• Permutations
  How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: and, the digits must not be repeated in the number b, the number should be divisible by 5 and the numbers must not be repeated c, digits can be repeated
• Numbers
  How many different 3 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2?
• Three-digit integers
  How many three-digit natural numbers exist that do not contain zero and are divisible by five?
• Three numbers
  We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
• How many 4
  How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0 such that no number repeats?
• Phone numbers
  How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
• Air draft
  The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and, the largest possible number b, the smallest possible number c, a
• Three-digit
  How many three-digit natural numbers are greater than 321 if no digit in number repeated?
• Three-digit numbers
  How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
• Digits
  How many odd four-digit numbers can we create from digits: 0, 3,5,6,7?