Question

How many 3-digits even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?​

Answer 1

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How many 3-digits even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

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➡️Let the 3-digit number be ABC, where C is at the unit’s place, B at the tens place and A at the hundreds place.

➡️As the number has to even, the digits possible at C are 2 or 4 or 6.

➡️That is number of possible digits at C is 3.

➡️Now, as the repetition is allowed, the digits possible at B is 6.

➡️Similarly, at A, also, the number of digits possible is 6.

➡️Therefore,

➡️ The total number possible 3 digit numbers = 6 × 6 × 3 = 108.

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Answer 2

Answer:

➡️Let the 3-digit number be ABC, where C is at the unit’s place, B at the tens place and A at the hundreds place.

➡️As the number has to even, the digits possible at C are 2 or 4 or 6.

➡️That is number of possible digits at C is 3.

➡️Now, as the repetition is allowed, the digits possible at B is 6.

➡️Similarly, at A, also, the number of digits possible is 6.

➡️Therefore,

➡️ The total number possible 3 digit numbers = 6 × 6 × 3 = 108.

Step-by-step explanation:

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