Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if both the I's are placed at the beginning and both the L's are placed at the end, between any two S's, there must be at least 4 other letters. (i) (ii) A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that (iii) all 8 letters are distinct, (iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to each other.
Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if both the I's are placed at the beginning and both the L's are placed at the end, between any two S's, there must be at least 4 other letters. (i) (ii) A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that (iii) all 8 letters are distinct, (iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to each other.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the given information.
VIEWStep 2: Determine the number of ways to arrange the 12 letters in part i)
VIEWStep 3: Determine the number of ways to arrange the 12 letters in part ii)
VIEWStep 4: Determine the probability that all 8 letters are distinct.
VIEWStep 5: Determine the required probability for the (iv) part.
VIEWSolution
VIEWStep by step
Solved in 6 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman