Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
<u>Ashely have </u><u>56 ways</u><u> to choose from</u>
This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.
<h3 /><h3>Permutation</h3>This is the process of arranging a particular set of data in different ways.
Since Ashely is choosing 3 desserts out of 8 in no specific ways
Where n = total number of ways available
r = total numbers that would be selected.
Data given
Let's substitute these values into the equation.
From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.
Learn more about permutation here;