10. Secret Code Word How many 4-letter code words canbe made using the letters in the word pencil if repetitionsare permitted? If repetitions are not permitted?11. Passwords Given the characters A, B, C, H, I, T, U, V,1, 2, 3, and 4, how many seven-character passwords canbe made? (No repeats are allowed.) How many ifyouhave to use all four numbers as the first four charactersin thepassword?12. Automobile Trips There are 2 major roads from cityX to city Y and 4 major roads from city Y to city Z.How many different trips can be made from city X tocity Z, passing through city Y?13. Evaluate each expression.e. 6Р4i. 9P2а. 11!f. 12PSb. 9!j. 11P3g. 7P7h. 4Poс. 0!d. 1!14. Evaluate each expression.е. 9Роа. 6!f. 11P4b. 11!g. sPoh. 10P2С. 2!d. 9!Car Strines How many different 4-colorcomont

Question
Asked Oct 28, 2019
10. Secret Code Word How many 4-letter code words can
be made using the letters in the word pencil if repetitions
are permitted? If repetitions are not permitted?
11. Passwords Given the characters A, B, C, H, I, T, U, V,
1, 2, 3, and 4, how many seven-character passwords can
be made? (No repeats are allowed.) How many if
you
have to use all four numbers as the first four characters
in the
password?
12. Automobile Trips There are 2 major roads from city
X to city Y and 4 major roads from city Y to city Z.
How many different trips can be made from city X to
city Z, passing through city Y?
13. Evaluate each expression.
e. 6Р4
i. 9P2
а. 11!
f. 12PS
b. 9!
j. 11P3
g. 7P7
h. 4Po
с. 0!
d. 1!
14. Evaluate each expression.
е. 9Ро
а. 6!
f. 11P4
b. 11!
g. sPo
h. 10P2
С. 2!
d. 9!
Car Strines How many different 4-colorco
mont
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10. Secret Code Word How many 4-letter code words can be made using the letters in the word pencil if repetitions are permitted? If repetitions are not permitted? 11. Passwords Given the characters A, B, C, H, I, T, U, V, 1, 2, 3, and 4, how many seven-character passwords can be made? (No repeats are allowed.) How many if you have to use all four numbers as the first four characters in the password? 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to city Z. How many different trips can be made from city X to city Z, passing through city Y? 13. Evaluate each expression. e. 6Р4 i. 9P2 а. 11! f. 12PS b. 9! j. 11P3 g. 7P7 h. 4Po с. 0! d. 1! 14. Evaluate each expression. е. 9Ро а. 6! f. 11P4 b. 11! g. sPo h. 10P2 С. 2! d. 9! Car Strines How many different 4-colorco mont

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check_circleExpert Solution
Step 1

From given information,

Let the sample be –

Sample = (P, E, N, C, I, L)

Four letter word code can be found as:

When, repetition of letters is allowed.

Step 2

The required number of ways are-

36х6х6х6
= 1296
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36х6х6х6 = 1296

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Step 3

1st place, 2nd place 3rd and 4th be filled up ...

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