Please answer asap, 4-7 only please III. Problem Solving (Counting techniques)Directions: solve the following problems and show your completesolutions.Qualent to zore scoreSuppose 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 all possible combinations?2. How many 3-letter codes can be formed if at least one of the letters is to bechosen from the vis 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?

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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 a five? 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?

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 a five? 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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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