Question
Download Solution PDFFind out the quantity of four-digit numbers that can be created by utilizing the digits from 1 to 9 if repetition of digits is not allowed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
4 digit numbers that can be created by utilizing the digits from 1 to 9. if repetition of digits is not allowed then,
Formula Used:
nPr = \(\frac{n!}{(n - r)!}\)
Calculation:
n = numbers from 1 to 9 = 9
r = 4
Required 4-digit number = 9P4
⇒ \(\frac{9!}{(9 - 4)!}\)
⇒ \(\frac{9!|}{5!}\)
⇒ \(\frac{ 9 \times 8 \times 7 \times 6 \times 5!}{5!}\)
⇒ 3024
∴ The quantity of four-digit numbers that can be created is 3024.
Last updated on Jun 17, 2025
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