How many strings of three decimal digits

**a)** do not contain the same digit twice?

**b)** end with an even digit?

**c)** have exactly two digits that are 9s

How many strings of eight uppercase English letters are there

A)If letters can be repeated?

B)if no letter can be repeated?

C)that start with Z, if letters can be repeated?

**d)** that start with Z, if no letter can be repeated?

that start and end with Z, if letters can be repeated?

that start with the letters ER (in that order), if letters can be repeated?

that start and end with the letters ER (in that order), if letters can be repeated?

How many bit strings of length 9 have

**a)** exactly three 0s?

**b)** more 0s0s than 11s?

**c)** at least six 11s?

**d)** at least three 1s1s?

**a)** How many ways are there to choose four members of the club to serve on an executive committee?

**b)** How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?

Nine women and seven men are on the faculty in the mathematics department at a school.

**a)** How many ways are there to select a committee of five members of the department if at least one woman must be on the committee?

**b)** How many ways are there to select a committee of five members of the department if at least one woman and at least one man must be on the committee?

In how many different ways can nine elements be selected in order from a set with two elements when repetition is allowed?

How many ways are there to assign three jobs to sixteen employees if each employee can be given more than one job?

How many different strings can be made from the letters in *EVERGREEN*, using all the letters?

What is the probability that a five-card poker hand contains the five of spades, the seven of clubs, the four of hearts and the king of hearts?

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding61

What is the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing if 45 people enter a contest and

**a)** no one can win more than one prize?

**b)** winning more than one prize is allowed?

(x+y)19

Subject | Mathematics |

Due By (Pacific Time) | 03/25/2014 11:59 pm |

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