# 1. Zip Codes How many 5-digit zip codes arepossible if digits can be repeated? If there cannot berepetitions?10. Secrebe mare p2. Letter Permutations List all the permutations of theletters in the word MATH11. Pass1,2be r3. Speaking Order Seven elementary students are se-lected to give a 3-minute presentation on what they didduring summer vacation. How many different ways canthe speakers be arranged?havin t12. Au4. Visiting Nurses How many different ways can a visit-ing nurse visit 9 patients if she wants to visit them all inone day?Hci13. E5. Quinto Lottery A lottery game called Quinto is playedby choosing five numbers each, from 0 through 9.How many numbers are possible ? Although repeats areallowed, how many numbers are possible if repeats arenot allowed?6. Show Programs Three bands and two comicsare performing for a student talent show. Howmany different programs (in terms of order) can bearranged? How many if the comics must performbetween bands?14.7. Rolling Dice If five dice are rolled, how many different15outcomes are there?8. Radio Station Call Letters The call letters of a radiostation must have 4 letters. The first letter must be a Kor a W. How many different station call letters can bemade if repetitions are not allowed? If repetitions areallowed?At the Bogue Film Festival, the

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Asked Oct 28, 2019
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## Expert Answer

Step 1

From given information,

Let the sample be –

Sample = {0,1,2,3,4,5,6,7,8,9}

Five digits code can be found as:

Here, repetition of digits is allowed.

Step 2

The required number of ways-

Step 3

first place can-not be filled with zero for a five digits number, hence there are 9 ways to fill 1st place. For, 2nd place there are 10 digits ...

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