Draw 5 cards from a deck of 52 without replacement, what is the probability that those 5 cards are in ascending or descending order?

Question

Need help double checking the answer for this one: Firstly, calculate the probability of getting 5 distinct cards. This would be:

52/52 * 48/51 * 44/50 * 40/49 * 36/48 = p

Now, the probability of the cards being in ascending or descending order is 2/5! = 1/60.

Hence final probability is p/60.

Is this line of logic and answer correct?