Rohan wants to devise a 6-digit password for his new project. How many such choices does he have to devise the new password ?
Rohan wants to devise a 6-digit password for his new project. How many such choices does he have to devise the new password ? Correct Answer 9 lakhs
Given:
6 digit password to be formed from 0 to 9 numbers
Calculation:
Let us consider:
First digit of password = 0
Second digit of password can be selected from 0 to 9 = 10 numbers
Similarly, all remaining four digits are also selected from 0 to 9.
When first digit is 0 then other digits can be selected in number of ways,
⇒ 10 × 10 × 10 × 10 × 10 = 105
Similarly, For other numbers 1 to 9.
∴ Number of choices to have password = 9 × 105 = 9 lakhs
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Feb 20, 2025