A club with 10 students elects a president, vice president, treasurer, and secretary. No student can hold more than one position. How many ways are there to select the class officers?

Question

Mathematics

Ellen Meyer

21 April, 19:59

A club with 10 students elects a president, vice president, treasurer, and secretary. No student can hold more than one position. How many ways are there to select the class officers?

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Answers (1)

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Buckley · Answer 1

5040 ways are there to select the class officers

Step-by-step explanation:

A club with 10 students elects a president, vice president, treasurer, and secretary. No student can hold more than one position

4 officers should be selected from 10 students

first officer can be selected in 10 ways

second officer can be selected in 9 ways

third officer can be selected in 8 ways

fourth officer can be selected in 7 ways

Number of ways = 10 times 9 times 8 times 7 = 5040 ways