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How Many Different Five-digit Number Licence Plates Can Be Made Iffirst Digit Cannot Be Zero and the Repetition of Digits is Not Allowed, - Mathematics

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How many different five-digit number licence plates can be made if

first digit cannot be zero and the repetition of digits is not allowed,

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Solution

(i) Since the first digit cannot be zero, the number of ways of filling the first digit = 9
 Number of ways of filling the second digit = 9     (Since repetition is not allowed)
 Number of ways of filling the third digit = 8
 Number of ways of filling the fourth digit = 7
 Number of ways of filling the fifth digit = 6
 Total number of licence plates that can be made = 9\[\times\]9\[\times\]8\[\times\]7\[\times\]6 = 27216

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 19.1 | Page 15

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