NEED ANSWERED NOW Part 1: How many different 8 digit lisene plates can be made i

Question

NEED ANSWERED NOW

Part 1: How many different 8 digit lisene plates can be made if the first 3 places are digits and the last five are vowels. (a,e,i,o,u). The digits can be repeated but the vowels cannot be repeated.

part 2: An online university offers 7 math classes, 3 different sceience classes, and 8 different elctives. Assuming all th classes will comply with your degree requirments. How many ways can you compose a schedule?

part 3. A resturant donated 3 gift cards of equal value to a local preschool . Ig the preschool has 75 students, hom many ways can 3 students be chosen to receive the gift card.

part 5 :A combination lock has 18 digits on it. How many possible 4 digit codes or there for a combination lock if no digit can be used more than once

Explanation / Answer

Dear Student Thank you for using Chegg !! Given an 8 digit license plate with first 3 places as digits and last 5 as vowels (digits repeated and vowels not repetitive) Number of ways for first 3 as digits is For each place we have 10 possible alternatives i.e. 0~9 Number of ways = 10^3 For last 5 digits we have 5 alternatives (a , e, I, o , u) non repetitive Number of ways = 5! By fundamenta principle of multiplication, total number of ways = 5!*10^3 = 120000 Solution

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