IT102 GMU Python And Java Script Programming Questions hello again I really like working with youthanks for accepting the Q N s3.us-east-1.amazonaws.com 0

IT102 GMU Python And Java Script Programming Questions hello again I really like working with youthanks for accepting the Q N
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de graded thatnas not been received and processed by Bo Dy the deadline.
1. The company is analyzing the transportation choices of its employees. The records of
1500 employees are analyzed. 410 of the employees drove to work, 300 took Metro, and
300 bicycled. 190 drove and took Metro. 90 drove and bicycled. 140 took Metro and
bicycled, and 40 employees used all three ways. (drove, Metro, bicycled)
i. Use the formula for “inclusion/exclusion: 3 sets” to calculate the number of
employees who did not use any three transportation types (drive, Metro, or bicycle).
SHOW YOUR WORK TO GET CREDIT
ii. Draw the Venn diagram and fill in the number of employees in each of the eight
disjoint regions of the Venn diagram.
iii. According to the numbers in the Venn, how many employees used exactly one of
the three types of transportation (drive, Metro, bicycle)?
2. You must show your understanding by setting up each problem using
combinatorics. You do not have to do the arithmetic calculations unless you are
specifically asked to do so.
There are 30 sports bags in the closet, 10 of which contain only equipment to be
used in the ocean; 11 contain only equipment to be used on the beach; and 9 contain
only equipment used on the golf course. You will select 6 bags from the closet.
Calculate:
a.
How many ways can at least 4 ocean bags be selected?
b.
How many ways can at most 2 beach bags be selected?
c.
How many ways can the 6 bags be selected so there are an equal number of each
type?
d.
How many ways can the 6 bags be selected so that they are all one type?
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TT102 Chapter 6 Homework Spring 2019
e.
Suppose 2 of the 30 bags are damaged. How many ways can 6 bags be selected
so that either no damaged bags are selected or just 1 damaged bag is selected?
f. How many ways can the 6 bags be selected so that 1 is Ocean, 2 are Beach and 3
are Golf bags?
For this problem you need to carry out the arithmetic so that you have a single
number as your answer:
3.
Suppose 10 students are in a race. Three prizes will be awarded: first, second, or
third prize. How many different outcomes are there? Carry out the arithmetic so
that you have a single number as your answer:
4. A group of students are playing a card game. The game uses a well-shuffled deck of
56 playing cards. 52 of the cards are exactly as described in your textbook.
However, there are also 4 Jokers. This means that there are 56 cards: 14 are hearts,
14 are diamonds, 14 are clubs, and 14 are spades. A hand of cards consists of Eight of
the cards. Find the number of different hands that contain:
a.
At least 6 Diamonds.
b.
All hearts
?.
At most 2 Jokers.
3 spades and 5 clubs or 4 hearts and 4 diamonds.
d.
5. You are being prompted to change your password. The allowable characters include 26
upper case letters, 26 lower case letters, 10 digits, and four special characters (!,@,#,&).
Calculate how many unique passwords can be generated with each of the following
scenarios. Leave your answers in combinatorics form (e.g. 3*985 * 6)
Scenario 1: Repetition is allowed. An 8 character password. The first character
must be one of the special characters. The remaining characters must be letters or
digits.
Scenario 2. No repetition is permitted. A 10 character password. For the first
five characters of the password, you can only use the upper case letters and the
digits. For the last five characters, you can only use the lower case letters and
special characters.
Scenario 3: Password must be 9 characters. The first character must be upper
case, the second must be lower case, the third must be a digit, and the fourth
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digits.
Scenario 2. No repetition is permitted. A 10 character password. For the first
five characters of the password, you can only use the upper case letters and the
digits. For the last five characters, you can only use the lower case letters and
special characters.
Scenario 3: Password must be 9 characters. The first character must be upper
case, the second must be lower case, the third must be a digit, and the fourth
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IT102 Chapter 6 Homework Spring 2019
character must be one of the special characters. The 4 characters set aside to meet
this requirement cannot be reused later. The remaining characters, however, can be
repeated.

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