Please answer asap!! III. Problem Solving (Counting techniques)Directions: solve the following problems and show your completesolutions.Qualent to zore score1. Suppose you have totally forgotten the combination to your locker. There are threenumbers in the combination, and you're sure each number is different. The numbers onthe lock's dial range from 0 to 35. If you test one combination every 12 seconds, howlong (in days to the nearest hundredth) will it take to test all possible combinations?2. How many 3-letter code words can be formed if at least one of the letters is to bechosen from the vowels a, e, i, o, and u.3.How many license plates of 3 symbols (letters and digits) can be made using at least 2letters for each?4. How many ways are there to write a 3-digit positive integer using the digits 1, 3, 5, 7,and 9 if no digit is used more than once.5. From a standard deck of cards, how many ways can you pick a face card, then a spade?Provided you put the first card back?6. From a standard deck of cards, how many ways can you pick a king, a heart, and then afive? Provided you put the cards back into the deck.7. How many positive odd integers less than 10,000 can be written using the digits 3, 4, 6,8, and 0?

We have to find the time required to test all the possible combinations. According to our…

1. Suppose you have totally forgotten the combination to your locker. There are three numbers in the combination, and you're sure each number is different. The numbers on the lock's dial range from 0 to 35. If you test one combination every 12 seconds, how long (in days to the nearest hundredth) will it take to test all possible combinations?

1. Suppose you have totally forgotten the combination to your locker. There are three numbers in the combination, and you're sure each number is different. The numbers on the lock's dial range from 0 to 35. If you test one combination every 12 seconds, how long (in days to the nearest hundredth) will it take to test all possible combinations?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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