Question

A coin is flipped eight times, and the sequence of heads and tails occurring is recorded. How many distinct sequences are possible?

Answer 1

Answer:

256

Step-by-step explanation:

Here, the order of the results from each other doesn't matter. e.g HHHTTTTT, TTTTTHHH are two different outcomes.

There are two possible outcomes for each flip, heads,H or tails, T

After eight flips, using the rule of product, the possible outcomes or sequences is equal to

2x2x2x2x2x2x2x2= 2^8=256

General formula for total number of outcomes when a coin is flipped is given by 2 raised to power n, where n is the number of flips, in this case, n is 8,  2^8=256