Question

View the table:2. What expression can we write to find the number of possible outcomes for 7 coins?

Answer 1

Given:

The table contains the total number of outcomes when flipping a certain number of coins.

The number of outcomes in the table follows the pattern,

`\begin{gathered} 1\rightarrow2^1=2 \\ 2\rightarrow2^2=4 \\ 3\rightarrow2^3=8 \\ 4\rightarrow2^4=16 \\ 5\rightarrow2^5=32 \end{gathered}`

It gives,

`f(n)=2^n`

For n=7

`\begin{gathered} n=7 \\ 7\rightarrow2^7=128 \end{gathered}`

Answer: there are 128 outcomes when 7 coins are flipped.