Question

William is using the video game controller shown. The game William is playing has various special moves thatrequire pressing two lettered buttons at the same time. How many 2-button special moves are possible with thecontroller?

Answer 1

Step-by-step explanation

In the question we are given that the possible letters williams can pick from is letters A, B, C, D and E.

Since he is selecting two letters from the given five, we can use the formula for combination to find the number of 2-button special moves that are possible with the controller

Therefore we will have;

`\begin{gathered} ^nC_r=(n!)/((n-r)!r!) \\ \text{Where n = 5 and r=2} \end{gathered}`

Hence,

`^5C_2=(5!)/(3!2!)=(5*4*3*2*1)/(3*2*1*2*1)=5*2=10`

Answer: 10 combinations