Question

14. A combination lock uses three numbers between 1 and 91 with​ repetition, and they must be selected in the correct sequence. Which of the five counting rules is used to find that​ number? How many different​"combinations" are​ possible? Is the name of​ "combination lock"​ appropriate? If​ not, what other name would be​ better?

Which of the five counting rules is used to find that​ number?

A. Permutations rule​ (when all of the items are​ different)

B.Combinations rule

C.Factorial rule

D.Fundamental counting rule

E.Permutations rule​ (when some items are identical to​ others)

B.) How many different​ "combinations" are​ possible?
C.) Is the name of​ "combination lock"​ appropriate? If​ not, what other name would be​ better?

15.Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. How many ways can the letters of EMDANGL be​ arranged? Identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

How many ways can the letters of EMDANGL be​ arranged?

Identify the correct unscramble of EMDAGL?

What is the probability of coming up with the correct unscrambling through random letter selection?

16. Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. How many ways can the letters of COUYPC be​ arranged? Identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

How many ways can the letters of COUYPC be​ arranged?

What is the correct unscrambling or COUYPC?

What is the probability of coming up with the correct unscrambling throughrandom letter selection?

Answer 1

14)

a.)

D) Fundamental counting rule is correct

b)

91^3 = 753571

C.) No. The name​ "number lock" is more appropriate because​ "fundamental counting rule​ lock" is awkward.