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How Many Numbers of Four Digits Can Be Formed with the Digits 1, 2, 3, 4, 5 If the Digits Can Be Repeated in the Same Number? - Mathematics

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प्रश्न

How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?

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उत्तर

The thousand's place can be filled by any of the 5 digits.
∴ Number of ways of filling the thousand's place = 5
Since the digits can repeat in the number, the hundred's place, the ten's place and the unit's place can each be filled in 5 ways.
∴ Total numbers = `5xx5xx5xx5=625`

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अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १६]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 37 | पृष्ठ १६

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