Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of different groups of three people that can be selected to fill the positions is 970,200.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that there are 100 applicants applying for three equal cosmetology positions.
Now, if a person takes up a position the same person can not take the other position, therefore, only 99 people will be left for the second position.
The same will happen with the third position, therefore, there will be only 98 people that can take the third position.
Therefore, the number of different groups of three people that can be selected to fill the positions is,
Number of different groups
= Number of applications to feel the first position × Number of applications to feel the second position × Number of applications to feel the third position
= 100 × 99 × 98
= 970,200
Hence, the number of different groups of three people that can be selected to fill the positions is 970,200.
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