Answered

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a combination lock is opened by setting each of five barrels to the correct digit. if digits are randomly chosen from the digits 0 through 9, how many unique combinations can be generated? repetition of numbers is allowed

Sagot :

Answer:

A. 0.3204

B. 0.59049

Step-by-step explanation:

Data:

The total number of combinations:

= [tex](10)^5=100000[/tex]

A.

The number of ways = [tex]10*9*8*7=30240[/tex]

                                                                           [tex]\frac{30240}{100000}[/tex]

The probability for an event P taking place = [tex]=0.3024[/tex]

B.

Number of ways to arrange the subjects = [tex](9)^4=59049[/tex]

                             [tex]\frac{59049}{100000}[/tex]

The probability = [tex]=0.59049[/tex]

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