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Permutations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPermutations3 Marks
Question
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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Answer

Total number of digits = 4. $\therefore$ The largest possible number of trials to obtain the correct code = 4 × 3 × 2 × 1 = 24 [$\because$ digits are not repeated]

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