Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. in a preschool class of n, exactly n1 children are

In a preschool class of n, exactly n1 children are needed for activity 1, n2 for...

70.2K

Verified Solution

Question

Basic Math

In a preschool class of n, exactly n1 children are needed foractivity 1, n2 for activity 2, and n3 for activity 3. Luckily n =n1 + n2 + n3. The teachers want to know in how many distinct waysthe children can be assigned into these activities. (Twoassignments are distinct if at least one student is in a differentactivity in each.) (a) They figure they could start by lining upthe children arbitrarily. How many different line-ups are possible?(b) They then take the first n1 for activity 1, the next n2 foractivity 2, and the rest for activity 3. How many differentline-ups will create the exact same assignment of children toactivities? (c) Use your answers from (a) and (b) to deduce thetotal number of distinct assignments.

Answer & Explanation Solved by verified expert
3.6 Ratings (453 Votes)
Solution Backup Theory Number of ways of arranging n distinct things among themselves ie permutations n nn 1n 2 3211 Complement of at least one is NONE and hence    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

the lowest population growth rates Determine in how many years each event can occur Use...

Basic Math
Q

The standard HIV test detects HIV antibodies rather than the virus itself. When a person becomes...

Medical Sciences
Q

Discuss the differences between processes and threads. Include discussion of the limitations of both multiple processes...

Programming
Q

what are the things to do before, during, after    operation of mechanical rice transplanter ( walk behind...

Mechanical Engineering
Q

Identify the figure of speech used in the expression He is a tiger in the...

Biology
Q

e the given table to determine the truth value of each simple statement Then determine...

Basic Math
Q

About 9 of the population has a particular genetic mutation 600 people are randomly selected...

Statistics
Q

A manufacturer of flashlights wants to know how well one of their newer styles is...

Statistics
Q

An urn contains 10 red marbles 28 blue marbles and 29 yellow marbles One marble...

Statistics
Q

a calculator to find the value below 75P calculator will display the answer

Calculus
Q

Bamboo Consulting is...

Accounting
Q

fill in blanks The J.T. Traverse Company is well known for its Traverse...

Accounting