Question

Name all the 300 outcomes of a coin tossed 9 times

Answer 1

Answer:

When order matters and the options for a step can occur again, you have a permutation with repetition. The formula for a permutation with repetition is the following:

number of outcomes for permutation with repetition = nr

where n is the number of options in a single step and r is the number of steps or repetitions. In this case, you have two choices (heads or tails) per step (where a step is the coin flip) and so n = 2. You have 9 steps (in this context the steps are coin flips) and so r = 9. So the number of permutations with repetition is 29

which equals 512.

Thus, there are 512 possible outcomes in total.

Step-by-step explanation: