The probability that the presidential candidate selects the route of 4 specific capitals out of 50 is 1 in 230300.
The question you're asking is related to probability. To find the probability that the presidential candidate selects a route of 4 specific capitals out of 50, we have to consider that the selection of any one capital is independent of the others and there are no repeat selections.
Since there's only one specific route that includes these 4 capitals, we can calculate this as 1 divided by the number of ways to choose 4 capitals out of 50 without regard to order.
The number of combinations of 50 things taken 4 at a time is denoted as 50 choose 4 and is calculated using the formula for combinations: C(n, k) = n! / (k!(n - k)!), where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial. Using this formula, 50 choose 4 equals 230300. Therefore, the probability that she selects the route of 4 specific capitals is 1 in 230300 or approximately 0.00000434452.