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How Many Different Numbers of Six Digits Can Be Formed from the Digits 3, 1, 7, 0, 9, 5 When Repetition of Digits is Not Allowed? - Mathematics

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How many different numbers of six digits can be formed from the digits 3, 1, 7, 0, 9, 5 when repetition of digits is not allowed?

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Solution

The first digit cannot be zero. Thus, the first digit can be filled in 5 ways.
Number of ways for filling the second digit = 5
(as repetition of digits is not allowed)
Number of ways for filling the third digit = 4
Number of ways for filling the fourth digit = 3
Number of ways for filling the fifth digit = 2
Number of ways for filling the sixth digit = 1
Total numbers = `5xx5xx4xx3xx2xx1= 600`

Concept: Combination
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 27 | Page 15

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