Respuesta :
Answer:30
Step-by-step explanation:
3different clasps
2 different chains
5 different charms
3×2×5 = 30 different necklace can be made by Ruth
Rule of product gives the number of ways a group of processes can be done. The amount of different necklaces that Ruth can make is given by: Option d): 30
What is the rule of product in combinatorics?
If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
For the given case, we have to do single single selection out of clasps, chains and charms available since one necklace contains one-one of each of them. Their total number of selections can be calculated using the above given rule of product.
Counts of types of clasps := 3
Count of types of chains = 2
Count of types of charms = 5
Thus, by product rule, total ways of selecting one-one items from each 3 parts, we get:
Total types of different necklaces = [tex]3 \times 2 \times 5[/tex] = 30
Thus, the amount of different necklaces that Ruth can make is given by: Option d): 30
Learn more about rule of product of combinatorics here:
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