Three boys and three girls are standing in a single file line. Find the probability that the boys and girls will alternate.

Three boys and three girls are standing in a single file line. Find the probability that the boys and girls will alternate.

Secretary/manager assignments--From a pool of 7 secretaries, 3 are selected to be assigned to 3 managers, 1 secretary to each manager. In how many ways can this be done?

How many sums of money can be formed by choosing 1 or more coins from 4 different kinds of coins

Assume that there are 16 board members: 11 females, and 5 males including Neville. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment...

Slips of paper marked with the numbers 1, 2, 3, and 4 are placed in a box. A slip is drawn and set aside, its number is recorded, and then a second slip is drawn. Write a sample space with equally...

Any password can have at most one digit on this website. repetitions are allowed. how many four-character passwords are possible

Using the fundamental principle of counting or permutations how many 7 digit telephone numbers are possible if the first digit cannot be 0 and A. only odd digits may be used. B. the telephone...

A committee of six people is formed to investigate connections between business and the education system. It consists of people chosen from 5 students, 8 teachers, 5 Principles, 10 parents, 4 professors,...

You are dealt 4 cards. How many ways can you be dealt 2 jacks and 2 tens?

You are dealt 6 cards. How many ways can you be dealt 1 heart and 5 clubs?

You are dealt 5 cards. How many ways can you be dealt 5 clubs?

Evaluate each expression. P(15, 0) Part 1 of 1 Use the formula for permutations and simplify. P(n, k) = n! (n − k)! P(15, 0) = 15! − 0 ! = 15!...

Evaluate the expression. C(10, 8) · C(9, 7) C(11, 7)

AnB =0 , and difference between proper subsets of A and proper subsets of B =496 Find the subsets of A

security codes are made of 3 letters followed by four single digit numbers. How many different 7 character security codes can be made if none of the letters can repeat and the first digit must be...

A club has 30 members under the age of 30 and 40 members who are 30 or older. In how many ways can a slate of 6 officers be chosen if the President and atleast one other officer must be at least 30...

A word of 16 letters is selected: ALMOSTIMPOSSIBLE a) How many different words are possible if the first and last letters are the same? b) How many different words are possible...

The burger shop offers cheese, lettuce, tomato, and pickles. Assuming that you are not concerned about where the toppings are, how many different ways can you order?

There are 4 letters A B C and D. Each letter have 3 variety of color Red, Yellow and Green. So basically the letters goes as red A, yellow A, green A, red B, yellow B, green...

The drama teacher at your high school is holding auditions for a small play with only 5 roles. If ten people try out, how many different ways can the roles be assigned?

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