Homework Answers

Three letters are selected at random from the 8 letters of the word COMPUTER, without regard

to order.a. Find the number of possible selections of 3 letters.

b. Find the number of selections of 3 letters with the letter P.

c. Find the number of selections of 3 letters where the 3 letters form the word TOP

A class consists of 3 students from Ashville and 4 from Bewton. A committee of 5 students is

chosen at random the class.a. Find the number of committees that include 2 students from Ashville and 3 from Bewton

are chosen.

b. In fact 2 students, from Ashville and 3 from Bewton are chosen. In order to watch a video,

all 5 committee members sit in a row. In how many different orders can they sit if no two

students from Bewton sit next to each other.

By both generating and directly computing obtain the number of the following:

a. All permutations of (0,1,2,3,4,5).

b. All permutations of ("A","B","C").

c. Permutations of size 3 of (0,1,2,3,4,5).

d. Permutations of size 2 of (0,1,2,3,4,5,6).

e. Combinations of size 3 of (0,1,2,3,4,5).

f. Combinations of size 2 of (0,1,2,3,4,5).

g. Combinations of size 5 of (0,1,2,3,4,5)

Write down a python code to generate 3 sets of lottery tickets randomly from the pool of 300

tickets with an equal probability distribution, and keep in mind that if a set of the number already

selected in the first-month lottery, the same number is not allowed to repeat.

Right Triangle

Given a number N write a program to print a triangular pattern of N lines with the number as shown below

1

121

12321

1234321