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lilcupe738
09.01.2020 •
Mathematics
3. for each of the following, indicate if it is a problem involving permutations, combinations, or neither, and then answer the question posed. explain your reasoning.
a. how many groups of five songs can be chosen from a list of 35 songs?
b. how many ways can a person choose three different desserts from a dessert tray of eight desserts?
c. how many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?
d. how many ways are there to place seven distinct pieces of art in a row?
e. how many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?
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Ответ:
Step-by-step explanation:
a. How many groups of five songs can be chosen from a list of 35 songs?
Here combinations because order of songs selected doe snot matter hence
35C5 = 324632
b. How many ways can a person choose three different desserts from a dessert tray of eight desserts?
Here combinations
8C3= 56
c. How many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?
Here order matters so 9P2 = 72
d. How many ways are there to place seven distinct pieces of art in a row?
Here we use permutations because distinct pieces so order matters.
7! ways
e. How many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?
Without replacement we have to use combinations
15C4 = 1365
Ответ:
1
Step-by-step explanation: