A coin is tossed n amount of times, and the sequence of heads and tails is recorded. Determine the number of possible different outcomes of this activity. (Your answer will include n.)
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OpenStudy (anonymous):
for the one right before it the question is a coin is tossed 3 times and the sequence of heads and tails is recorded. Determine the number of possible different outcomes of this activity.
OpenStudy (anonymous):
and it was 2^3 is 8
OpenStudy (anonymous):
but i don't know how to incorporate n in the answer
OpenStudy (hoblos):
2^n
OpenStudy (anonymous):
2^n.
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OpenStudy (anonymous):
so 2^n = ?
OpenStudy (anonymous):
yup - simply 2^n
OpenStudy (hoblos):
yup
OpenStudy (anonymous):
ok thanks
OpenStudy (hoblos):
:D
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OpenStudy (anonymous):
You don't know. The answer is an expression, not a definite value. It depends on what n is - so you throw it 'n' times, you get 2^n possible outcomes. E.g. if you throw it 10 times, 2^10 possible outcomes.
OpenStudy (anonymous):
Suppose we want to seat 3 men and 3 women in a row of six chairs. In how many
OpenStudy (anonymous):
can we seat these people if all the women must sit together but no woman sit on the end seats