Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

a 9-character numeric passcode is constructed at random. if the last number cannot be prime and the first digit cannot be 0, 1, or 7, how many different codes can be constructed?

Sagot :

tutorconsortium123

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation.

Here,  420,000,000 different passcodes can be construct.

What is the permutation ?

  • The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation.
  • Simply said, a permutation is a term that refers to the variety of possible arrangements or orders.
  • The arrangement's order is important when using permutations.
  • An arrangement of items in a specific order is referred to as a permutation.
  • Here, the components of sets are arranged in a linear or sequential order.
  • When an order or sequence of arrangement is required, permutations are used.
  • Combinations are employed when there are just a limited number of feasible groups to find and there is no requirement for the order or sequence of arrangements. For different kinds of objects, permutations are utilized.
  • Combinations are employed for comparable items.

The first digit excludes [0, 1 and 7] , therefore 7 possible values.

The last number cannot be prime

The last digit excludes [2, 3, 5 and 7] therefore 6 possible values

The second to eight digits (7 digits) can have all 10 values

Therefore different codes that can be constructed is 7*10*10*10*10*10*10*10*6 = 7*6*(10^7) = 420,000,000

Hence 420,000,000 different codes can be construct.

To learn more about permutation  refer,

https://brainly.com/question/28443757

#SPJ4

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.