A college schedules lectures of 9 professors. 3
professors every day, till all possible combinations
are exhausted. If no combination of professors is
ever repeated on any day, then how many days will
each of professor have to come?
Answers
Given : A college schedules lectures of 9 professors. 3 professors every day, till all possible combinations are exhausted. no combination of professors is ever repeated on any day
To find : how many days will each of professor have to come?
Solution:
Total professors = 9
Professors every day = 3
Number of was 3 professors can be selected = ⁹C₃
= 9!/6!3!
= 9 * 8 * 7 /( 3 * 2 * 1)
= 84
Each day 3 professors come
in 84 Days total Visit of professors = 84 * 3
There are 9 professors
One professor have to come = 84 * 3 / 9
= 28 Days
28 Days each of professor have to come
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Answer:
28 Days
Step-by-step explanation:
Solution:
Total professors = 9
Professors every day = 3
Number of was 3 professors can be selected = ⁹C₃
= 9!/6!3!= 9 * 8 * 7 /( 3 * 2 * 1)
= 84
Each day 3 professors come
in 84 Days total Visit of professors = 84 * 3
There are 9 professors
One professor have to come = 84 * 3 / 9
= 28 Days
28 Days each of professor have to come
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