1. A group consists of six men and seven women. Six people are selected to attend a conference.
a. In how many ways can six people be selected from this group of thirteen?
b. In how many ways can six women be selected from the seven women?
c. Find the probability that the selected group will consist of all women.
2. A city council consists of five Democrats and five Republicans. If a committee of four people is selected, find the probability of selecting two Democrats and two Republicans.
If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens and three kings.
You are taking a multiple-choice test that has 7 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?
License plates in a particular state display 2 letters followed by 2 numbers. How many different license plates can be manufactured for this state?
A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 6 stocks?
A club with fourteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
At a benefit concert, eight bands have volunteered to perform but there is only enough time for five of the bands to play. How many lineups are possible?
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- Submitted On 19 Apr, 2018 10:34:08