Question

уA 5-digit PIN number is selected. What it the probability that there are no repeated digits?hoThe probability that no numbers are repeated isWrite your answer in decimal form, rounded to the nearest thousandth.Check Answer

Answer 1

Since there are 5 choices and there are 10 possible digits for each digit of the PIN( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The total value possible 5 pins are 10⁵ = 100000

Using permutation, since 5 numbers are selected without repetition:

$\frac{n!}{(n-k)!}=\frac{10!}{(10-5)!}=30240$

The probability that no numbers are repeated is= 30240/ 100000

≈ 0.302