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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?

Respuesta :

Answer:

6 different ways

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:

[tex]nCr=\frac{n!}{(n-r)!r!}[/tex]

Using the formula above for 6C5

[tex]\begin{gathered} 6C5\text{ = }\frac{6!}{(6-5)!5!} \\ \\ 6C5=\frac{6!}{5!} \\ \\ 6C5=6 \\ \end{gathered}[/tex]

She can finish the tapestry in 6 different ways

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