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A Customer Forgets a Four-digits Code for an Automatic Teller Machine (Atm) in a Bank. However, He Remembers that this Code Consists of Digits 3, 5, 6 and 9. - Mathematics

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A customer forgets a four-digits code for an Automatic Teller Machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6 and 9. Find the largest possible number of trials necessary to obtain the correct code.

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Solution

Assuming that the code of an ATM  has all distinct digits.
Number of ways for selecting the first digit = 4
Number of ways for selecting the second digit = 3
Number of ways for selecting the third digit = 2
Number of ways for selecting the fourth digit = 1
Total number of possible codes for the ATM =`4xx3xx2xx1=24`

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 31 | Page 16

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