1 four different written driving tests are


1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 men apply, find the number of ways:

(a) exactly 3 of the 6 people will take the same test.

(b) the 2 women take the same test.

(c) all 4 men take different tests.

2. How many binary strings (strings of 0s and 1s) contain exactly five 0s and 14 1s if every 0 must be immediately followed by two 1s?

3. In how many ways can 6 men and 4 women sit down around a circular table

(a) with no restrictions?

(b) if women can not sit directly next to each other?

(c) if all 6 men must sit consecutively?

4. Consider passwords consisting of a string of 4 characters, each selected from (A,B,C,D,E, F,G)

(a) How many passwords contain at least one A if repetition of characters is not allowed? An example of such a password is BAGF.

(b) How many passwords contain at least one A if repetition of characters is allowed? An example of such a password is BAAF.

(c) How many passwords are there if consecutive characters can not be identical, but repetition of characters is allowed? An example of such a password is ABAF.

(d) How many passwords contain exactly two As if repetition is allowed?

5. Let A = (1, 2, 3, 4, 5, 6) and B = (1, 2, 3, 4, 5, 6, 7, 8). How many binary relations from A to B contain the ordered pair (2, 5) but do not include the ordered pair (3, 3)? How many of the binary relations that you counted are also functions?

Request for Solution File

Ask an Expert for Answer!!
Mathematics: 1 four different written driving tests are
Reference No:- TGS0412552

Expected delivery within 24 Hours