mathmatics

Question 12 pts

Consider the weighted voting system [16: 9, 8, 7].

Identify the pivotal player in a sequential coalition of {P1, P3, P2}.

	P3
	P1

	P1, P3
	P2

 

Flag this Question

Question 22 pts

Consider the weighted voting system [16: 9, 8, 7].

Find the Shapley-Shubik power distribution of P1.

	4/6
	4/7

	1/4
	1/6

 

Flag this Question

Question 32 pts

In a weighted voting system with three players the winning coalitions are: {P1, P2} and {P1, P2, P3}? 

Identify the pivotal player in a sequential coalition of {P1, P3, P2}.

	P3
	P1, P3

	P2
	P1

 

Flag this Question

Question 42 pts

In a weighted voting system with three players the winning coalitions are: {P1, P2} and {P1, P2, P3}?

Find the Shapley-Shubik power distribution of P1.

	1/3
	1/4

	1/2
	1/5

 

Flag this Question

Question 52 pts

Let A be a set with 10 elements.

Find the number of subsets of A.

	2^10=1024
	(2^10)-1=1023

	(2^11)-1=2047
	2^11=2048

 

Flag this Question

Question 62 pts

Let A be a set with 10 elements.

Find the number of subsets of A having one or more elements.

	(2^11)-1=2047
	2^11=2048

	2^10=1024
	(2^10)-1=1023

 

Flag this Question

Question 71 pts

Let A be a set with 10 elements.

Find the number of subsets of A having exactly one element.

	10
	11

	1
	2

 

Flag this Question

Question 81 pts

Let A be a set with 10 elements.

Find the number of subsets of A having two or more elements. [Hint: Use the answers to previous questions.]

	1013
	1014

	2047
	1024

 

Flag this Question

Question 91 pts

Given that 20! = 2,432,902,008,176,640,000, find 19!

 

	121,645,100,408,832,000
	1,216,451,004,088,320,000

	2,432,902,008,176,640,000
	4,865,804,016,353,280,000

 

Flag this Question

Question 101 pts

Given that 20! = 2,432,902,008,176,640,000, find (20!)/(19!).

	20
	121,645,100,408,832,000

	19
	21

 

Flag this Question

Question 112 pts

Find (11!)/(8!).

	11×10=110
	10×9=90

	11×9=99
	11×10×9=990

 

Flag this Question

Question 122 pts

Find (101!)/(99!).

	100
	9900

	10100
	101