Question

if two states are selected at random from a group of 10 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.
if the states are selected with replacement, there are 100 possible outcomes.
if the states are selected without replacement, there are possible outcomes.

Explanation:

Step1: Calculate permutations without replacement

When selecting without replacement, for the first selection, there are 10 options. For the second selection, there are 9 options left.
The number of permutations is calculated by \(n\times(n - 1)\), where \(n=10\).
So the number of outcomes is \(10\times9\).

Step2: Compute the result

\(10\times9=90\)

Answer:

90