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Q: How many different 2 digit odd numbers can be formed from the digits 1 through 8 if no digits are repeated in a number?

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2000

Since there are only five different digits, a 6-digit number can only be generated if a digit can be repeated. If digits can be repeated, the smallest 6-digit number is 111111.

This is really a question about permuations with repeated elements. The formula for that is n!/a! b!... where a, b,.. are repeated So we have 6 elelments with each repeated 2 times. so the number is. 6!/2!2!2! This is 6x5x4x3x2x1/ 23 so we can cancel out the 4 and the 2. 6x5x3=90 So 90 different numbers.

There are 26 different letters that can be chosen for each letter. There are 10 different numbers that can be chosen for each number. Since each of the numbers/digits that can be chosen for each of the six "spots" are independent events, we can multiply these combinations using the multiplicative rule of probability.combinations = (# of different digits) * (# of different digits) * (# of different digits) * (# of different letters) * (# of different letters) * (# of different letters) = 10 * 10 * 10 * 26 * 26 * 26 = 103 * 263 = 1000 * 17576 = 17,576,000 different combinations.

5P4 where P is the permutation operator = 5!/(5-4)! = 5! = 5 x 4 x 3 x 2 x 1 = 120.

Related questions

5040 different 4 digit numbers can be formed with the digits 123456789. This is assuming that no digits are repeated with each combination.

The answer will depend on how many digits you have at your disposal. Working with the 10 digits, and barring leading zeros, there are 8,877,690 numbers.

If the digits may not be repeated, there are 6x5x4x3x2x1 = 720 numbers, If digits can be repeated, the answer is 6x6x6x6x6x6 = 46,656 numbers If zero is ong the available digits but is excluded from the first place. 5x6x6x6x6x6=38,880 numbers

Infinite. If numbers can be repeated, the list could go on nonstop.

763920

757

It is possible to create a 3-digit number, without repeated digits so the probability is 1.

There are 5*4*3 = 60 such numbers.

500

24

With repeated digits, 43 = 64 Without repeated digits, 4*3*2 = 24

If the digits can be repeated, then there are (5 x 5 x 5 x 5) = 625 different four-digit numbers.If the digits can't be repeated, then there are (5 x 4 x 3 x 2) = 120 different four-digit numbers.

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