Question

1) In a college, each student ID card is linked with a unique 5-digit pin from the set {0,1,2,3,4,5,6,7,8,9}. A) Find the number of ID cards possible. B) Find the number of ID cards possible if the 5-digit number is an odd number? C) Recalculate A&B if the digits are not allowed to be repeated.

2) A license plate has 3 letters followed by 4 digits. How many different license plate numbers can be formed if the letters cannot be repeated and digits can be repeated.

3) How many seven-digit telephone numbers are possible if the first number is not allowed to be 0 or 1? Given that 817272 are the first six digits for UTA, how many five-digit extensions are possible in the form 2xxxx.

4) A pair of dice is tossed, a coin is flipped thrice, and a card is selected at random from a deck of 52 distinct cards. Find the number of possible outcomes.

Answer #1

A telecommunications service provider issues sim cards, each
with a 4-digit PIN and an 8-digit code called a PIN Unlock Key
(PUK). The PUK is used to unlock a sim card when the PIN has been
wrongly entered three times in succession. If no 4 consecutive
digits in a PUK should be the same as the PIN for any given sim
card, how many possible PUK codes can be generated when a sim card
is issued

1. Twelve individuals want to form a committee of four.
(a.) How many committees are possible?
(b.) The 12 individuals consist of 5 biologists, 4 chemists, and
3 physicists. How many committees consisting of 1 biologist, 1
chemist, and 2 physicists are possible?
(c.) In the setting of part (b), if all committees are equally
as likely, what is the probability the committee formed will
consist of 1 biologist, 1 chemist, and 2 physicists?
2. You are out of town...

Evaluate C(11,4). C(11,4) equals =
Six cards are marked with the numbers 1, 2, 3, 4, 5, and 6 ,
then shuffled, and three cards are drawn.
a. How many different three -card combinations are possible?
b. How many three -card hands contain a number less than
three?
Use a tree diagram for the following. a. Find the number of ways
2 letters can be chosen from the set {U, V, W, X} if order is
important and repetition is...

Do the following problems. 1. Each of three barrels from a
manufacturing line are classified as either above (a) or below (b)
the target weight. Provide the ordered sample space. 2. The heat on
each of two soldered parts is measured and labeled as either low
(l), medium (m), or high (h). State the number of elements in the
ordered sample space. 3. Consider the set of Beatles songs with a
primary writer as either Paul McCartney (P) or John...

1. A random number generator is used to select a number from 1
to
500 ?(inclusively).
What is the probability of selecting the number 595
?
What is the probability?
2.Identify the sample space of the probability experiment and
determine the number of outcomes in the sample space.
-Randomly choosing an even number between 10 and 20,
inclusive
The sample space is?
(Use a comma to separate answers)
There are _____ outcomes in the sample space
3. Determine the number...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 22 minutes ago

asked 31 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago