Question

In the scenario where the man has forgotten the order of the digits in the woman's phone number and arranges them in random order to dial every combination, what factors would influence the chances of randomly dialing her phone number?

A) The total number of possible combinations and the likelihood of the correct combination.
B) The man's memory and ability to recall the order of the digits.
C) The restaurant where they met and the quality of their conversation.
D) The number of digits in her phone number and the color of his phone.

Answer 1

The chances are influenced by the total number of combinations (n!) and the likelihood of the correct one being dialed. The man's memory could reduce the tries if he recalls any digits.

Step-by-step explanation:

The factors that would influence the chances of randomly dialing a woman's phone number correctly include A) the total number of possible combinations and the likelihood of the correct combination being dialed. If a phone number has n digits, the total number of possible combinations that can be dialed is n! (n factorial), which is calculated as the product of all positive integers up to n. For instance, if the phone number has four digits, there are 4! (4 factorial) combinations, which equals 4×3×2×1, resulting in 24 possible combinations. The man's memory could aid in reducing the number of tries, especially if he recalls some digits or their order, effectively lowering the total possibilities.