Question

Sarah has 5 colored pencils . Stle wants to pick three colored pencils from her collection and give them to her younger sister. How many different combinations of colored pencil can Sarah make from 5 pencils?

Answer 1

Sarah can make 10 different combinations of colored pencils from her collection of 5 pencils.

Step-by-step explanation:

When Sarah wants to pick three colored pencils from her collection of five pencils, she needs to calculate the number of different combinations. This can be done using the combination formula.

The formula for combinations is nCr = n! / (r!(n-r)!) where n is the total number of items and r is the number of items being selected.

In this case, n = 5 (the total number of pencils) and r = 3 (the number of pencils being selected).

Using the formula, we can calculate the number of combinations as follows:

nCr = 5! / (3!(5-3)!)

= 5! / (3!2!)

= (5 * 4 * 3!) / (3!2!)

= 5 * 4 / 2

= 10

Therefore, Sarah can make 10 different combinations of colored pencils from her collection of 5 pencils.