If two states are selected at random from a group of 50 states, determine the number of possible outcomes if the group of states are selected with replacement

The are 1225 possible outcomes.

Step-by-step explanation:

The order of the states do not matter. For example, New York and California is the same outcome as California and New York. This means that we use the combination formula to solve this problem.

Combination formula

is the number of different combinatios of x objects from a set of n elements, given by the following formula.

.

In this problem, we have that:

Two states are selected at random from a group of 50 states. This means that we have a combination of 2 states from a set of 50 states. So we have that .

The are 1225 possible outcomes.

for this case we have the following expression:

to solve, we rewrite the expression as:

we apply double c and we have:

thus, the quotient is 48.

so, patel found a wrong ratio and the multiplication was incorrect.

option d