Enrique tosses a coin and spins the spinner at right. What are all the possible outcomes? How many outcomes are in the sample sp
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1 answer:
Answer:
The possible out comes are H1, H2, H3, H4, H5, H6, H7, H8, T1, T2, T3, T4, T5, T6, T7, T8. The total number of possible outcomes is 16.
Step-by-step explanation:
The coin have two possibilities, i.e., head and tail.
The possible outcomes vary according to the numbers on the spinner.
Let the spinner has 8 numbers, then the possible numbers are 1,2,3,4,5,6,7 and 8.
The total possible out comes are H1, H2, H3, H4, H5, H6, H7, H8, T1, T2, T3, T4, T5, T6, T7, T8.
Therefore the total number of possible outcomes is 16.
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Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:
The 3*2*1 cancels out and leaves us with:
So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.