If a set S has n > 3 elements, how many subsets of S haveless than n – 1 elements?

Apply the simple logic of Permutation & Combination.

Answered: If a set S has n > 3 elements, how many…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

1. Given 10 numbers a1, a2,..., a10, from the set S of natural numbers S = {1,2,3,..., 100}. Prove that there exist two (or more) subsets of the 10 numbers whose elements sum to the same value. Food for thought - how would you determine that 10 values are needed? 2. Given the set of S natural numbers S= {1, 2, 3,..., 100} select fifty one numbers from S. Prove that at least one of the numbers you chose is a multiple of another number that you chose. 3. Evan is training for baseball season. His coach wants him to pitch or hit 90 times over the course of the 53 days before the season starts. He plans to do at least one pitching or hitting session a day. Prove that there exists a span of consecutive days that Evan will complete exactly 15 sessions. 4. Use the following Venn diagram for this question. 3 (a) List the regions of the Venn diagram that make the following statement true: (-p→q) → r. (b) Construct an equivalent statement to the one in (a) using only A, V, and/or using as few…
15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?
4. Consider the set N = {a,b,c}
Set A contains 15 elements, set B contains 24 elements, and 10 elements are common to sets A and B. How many elements are in A U B? The number of elements in A U B is C
11. At a car manufacturing plant each option is equally likely to be selected under each category to build a car. Model: Toyota Corvic Trim Level Exterior Color Interior Color DX Black Black EX Red Gray Si Blue White Create a tree diagram showing all possible versions of the car from the choices above if one of each category is used to create the car. How many possible combinations of cars are there?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?