How many combinations if you flip a coin 5 times?
I'm trying to figure out all the possible combinations when flipping a coin five times. I want to know how many different outcomes there can be.
How many combinations of coins can make 50 cents?
Sure, here's a description in English that simulates the tone of a questioner, with a word count of no more than 300: "I'm curious, how many different ways can we make 50 cents using U.S. coins? We know that the available coins are the penny (1 cent), the nickel (5 cents), the dime (10 cents), and the quarter (25 cents). Is there a formula or a systematic way to figure out all the possible combinations that would add up to 50 cents? I'm interested in understanding the mathematical principles behind this, and how they can be applied to other coin denominations or even different financial scenarios. Can you help me understand the concept better and walk me through the process of finding all the combinations?