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How many different combinations can 3 numbers make?

Posted on December 29, 2022 by Author

Table of Contents

  • 1 How many different combinations can 3 numbers make?
  • 2 How many combinations are there for a 3 number Lock?
  • 3 How many 3 digit numbers can be formed using 12345?
  • 4 How many 3 digit numbers can be formed using the digits 2 3 and 4 without repetition?
  • 5 How many 3 digit numbers can be created without repeating?
  • 6 How many different ways can you arrange three different numbers?
  • 7 How many ways can 4 women sit at a circular table?

How many different combinations can 3 numbers make?

Correct answer: Thus, for the letters, there are 26 possibilities for each of the 3 slots, and for the numbers, there are 10 possibilities for each of the 3 slots. The total number of combinations is then: 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000 ≈ 18 million.

How many combinations are there for a 3 number Lock?

2 Picking a Lock By comparison, this 3-dial lock (three wheels, each with digits 0-9) has 10 × 10 × 10 = 1, 000 possible combinations.

How many ways can 123 be arranged?

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That is a total of 7 combinations.

How many 3 digit numbers are there in which all the digits are distinct?

Thus there are 60, 3 digit numbers, with distinct digits, with each of the digits odd.

How many 3 digit numbers can be formed using 12345?

As repetition is allowed, So the number of digits available for Y and Z will also be 5 (each). Thus, The total number of 3-digit numbers that can be formed = 5×5×5 = 125.

How many 3 digit numbers can be formed using the digits 2 3 and 4 without repetition?

Hence the answer is 900 such numbers can be formed.

How many 3 digit numbers have distinct and nonzero digits?

Explanation: D In a 3-digit number containing no zeros, there are nine possibilities for the first digit (1-9); nine possibilities for the second digit (1-9); and nine possibilities for the third digit (1-9). That makes a total of 9 × 9 × 9 possible 3-digit numbers, or 729.

How many even numbers of 3 digits can be formed when repetition of digits is allowed?

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Problem 2: How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated? Solution: Answer: 108.

How many 3 digit numbers can be created without repeating?

Case 1 : Permutation without Repeating No. i.e. 3! Hence, the no. of 3 digit numbers which can be formed by 2, 3, 6 without repeating any digit is 6.

How many different ways can you arrange three different numbers?

There is 6 ways to arrange. Let three numbers are 1, 2, 3. 1, 2, 3. There is 6 different way to solve. In Mathematics, it is Permutation, the order that we arrange the objects in is important. So we can calculate how to arrange these three different numbers 3!=3×2×1 =6.

How many ways can you use three numbers in a sentence?

The question actually depends on whether the numbers are distinct, and how many times we can use each one. If all three numbers are distinct, and all 3 numbers must be used exactly once, then 3!=3*2*1=6 ways. In other words, 3 options for the first number, 2 for the second, 1 for the third.

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How do you find 3 ways to solve for 3 numbers?

If all three numbers are distinct, and all 3 numbers must be used exactly once, then 3!=3*2*1=6 ways. In other words, 3 options for the first number, 2 for the second, 1 for the third. If two of the numbers were the same, then it would be 3! 2! = 3 ∗ 2 ∗ 1 2 ∗ 1 = 3 arrangements.

How many ways can 4 women sit at a circular table?

The 4 men can be seated at the circular table such that there is a vacant seat between every pair of women. 3! = 6. 3! = 6. 3! = 6. Now the 4 vacant seats can be occupied by the women in 4! = 24 4! = 24 ways. Thus, the required number of ways is 6 imes24 = 144 6×24 = 144 ways.

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