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Since the number must be even, the third digit must be either the 2 or the 6 = 2 choices.

For each of those . . .

The second digit can be any one of the 4 remaining ones. For each of those . . .

The first digit can be any one of the 3 remaining ones.

Total number of ways to line them up = 2 x 4 x 3 = 24

Q: How many even 3 digit numbers can be formed from digits 1 2 5 6 9 if each digit can be used only once?

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24 different numbers.

There are 5 numbers of 1 digit, 25 numbers of 2 digits, and 75 numbers of 3 digits. This makes 105 numbers in all.

18

There are 9 digits that can be the first digit (1-9); for each of these there is 1 digit that can be the second digit (6); for each of these there are 10 digits that can be the third digit (0-9); for each of these there are 10 digits that can be the fourth digit (0-9). → number of numbers is 9 × 1 × 10 × 10 = 900 such 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

Related questions

There are 7,290 different 4-digit numbers that can be formed from the digits 1-9 without repetition.

24 different numbers.

There are 5 numbers of 1 digit, 25 numbers of 2 digits, and 75 numbers of 3 digits. This makes 105 numbers in all.

There are 3 values (1, 2, 3) for each of the 4 digits. Therefore, there are 3*3*3*3 or 81 four digit numbers that can be formed.

18

There are 9 digits that can be the first digit (1-9); for each of these there is 1 digit that can be the second digit (6); for each of these there are 10 digits that can be the third digit (0-9); for each of these there are 10 digits that can be the fourth digit (0-9). → number of numbers is 9 × 1 × 10 × 10 = 900 such numbers.

20

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

5 x 10 x 5 = 250 different numbers, assuming there is no limit to each digits' use.

9630

If they can be repeated, 343 different numbers. If they can be used once each, there are only 210.

Four digit numbers span from 1000 to 9999. This totals (9999-1000) +1 = 9000 different four digit numbers