can the professor reasonably ask that no student use the same combination of flowers as another student uses? why or why not?
asked Sep 21, 2017 in Pre-Algebra Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Let's suppose there are 10 flowers in each arrangement and each student uses all four types of flower. Let the types be A, B, C, D. Now let the corresponding numbers of these flowers be a, b, c, d.

So a+b+c+d=10. If a, b, c, d are the numbers 1, 2, 3, 4 respectively, there will be 10 flowers. But we can arrange the numbers 1 to 4 in 24 distinct ways. We now apply each arrangement to the flowers. For example,  for 1234 we have one flower of type A, two of type B, three of type C, four of type D. For the arrangement 4123, we have four flowers of type 4, one of type B, two of type C, three of type D. Since there are only 15 students and there are 24 possible combinations using this method, no two students need to have the same combination of flowers. So the 24 permutations of the quantities 1 to 4 results in 24 different combinations of 4 types of flower in the flower arrangements, easily accommodating the students' 15 flower arrangements.

 

answered Sep 24, 2017 by Rod Top Rated User (581,240 points)

Related questions

0 answers
asked Apr 17, 2013 in Statistics Answers by anonymous | 105 views
1 answer
asked Sep 27, 2013 in Calculus Answers by isha sharma | 168 views
1 answer
asked Sep 9, 2014 in Other Math Topics by anonymous | 121 views
2 answers
asked Feb 28, 2012 in Statistics Answers by anonymous | 1,231 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,617 questions
85,852 answers
2,186 comments
69,284 users