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How Many Four Digit Different Numbers, Greater than 5000 Can Be Formed with the Digits 1, 2, 5, 9, 0 When Repetition of Digits is Not Allowed? - Mathematics

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How many four digit different numbers, greater than 5000 can be formed with the digits 1, 2, 5, 9, 0 when repetition of digits is not allowed?

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Solution

As the number has to be greater than 5000, the first digit can either be 5 or 9.
Hence, it can be filled only in two ways.
Number of ways for filling the second digit = 4
Number of ways for filling the third digit = 3
(as repetition is not allowed)
Number of ways for filling the fourth digit = 2
Total numbers `2xx4xx3xx2=48`

Concept: Combination
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 28 | Page 15

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