Ruth is making a necklace for a friend. She has 3 different types of clasps, 2 different chains, and 5 different charms. If she only puts one charm on the necklace, how many different necklaces could she make?
Responses
A 3030
B 6060
C 33
D 2525
E 10
C - Ruth has 3 options for the clasp, 2 options for the chain, and 5 options for the charm. She can choose one charm to put on the necklace in 5 different ways. Therefore, the total number of possible necklaces she can make is 3 x 2 x 5 = 30.
To determine the number of different necklaces Ruth can make, we need to multiply the number of options for each component.
She has 3 different types of clasps, which means she has 3 options for the clasp.
She has 2 different chains, which means she has 2 options for the chain.
She has 5 different charms, but she can only put one charm on the necklace, so she has 5 options for the charm.
To calculate the total number of different necklaces, we will multiply the number of options for each component:
3 clasps x 2 chains x 5 charms = 30 different necklaces.
Therefore, the correct answer is:
A) 30
To determine the number of different necklaces Ruth can make, we need to multiply the number of choices she has for each component.
Ruth has 3 different types of clasps, 2 different chains, and 5 different charms. Since she is only putting one charm on the necklace, she has 3 choices for the clasp, 2 choices for the chain, and 5 choices for the charm.
To determine the total number of different combinations, we multiply these choices together:
3 (clasp choices) × 2 (chain choices) × 5 (charm choices) = 30
Therefore, Ruth can make 30 different necklaces.
Based on the options given, the correct answer is not provided (there is no option for 30).