Question

A girl is weaving a tapestry. She has 5 threads left to put on the tapestry and 6 colors of threads to choose from. How many different ways could she finish the tapestry?

Answer 1

Answer:

6 different ways

Step-by-step explanation:

The girl has a total of 6 colours of thread remaining

Out of the remaining 6 colours left, she needs only 5 threads to complete the tapestry.

This means that she will select 5 out of the available 6 colours of threads to complete the tapestry

This can be done using combination 6C5

Note that:

`nCr=(n!)/((n-r)!r!)`

Using the formula above for 6C5

`\begin{gathered} 6C5\text{ = }(6!)/((6-5)!5!) \\ \\ 6C5=(6!)/(5!) \\ \\ 6C5=6 \\ \end{gathered}`

She can finish the tapestry in 6 different ways