Mathematics Probability Level: Misc Level

On further reflection,the professor remembered that Tariq, Sean,Steven and Victoria each asked at least 3 questions, while Emily,Mila,Thomas and Eric didn,t ask any In light of this,in how many different ways could the 35 questions have been distributed among the students

Mathematics Probability Level: Misc Level

Considering only the number of questions asked by each students,in how many different ways could the 35 questions have been distributed among the students?

Mathematics Probability Level: Misc Level

During the final exam,the professor answered 35 questions from students (other than,,may I go to the bathroom,,) Obviously, some students asked more than one question, and there may have been some who didn,t ask any.(By the end of the exam,theprofessor couldn,t remember-they may even have all been asked by same student)

Mathematics Probability Level: Misc Level

When preparing for the finalexam, the students decide to form study groups. Six of the students do not want to participate in study groups, so the other 20 students are going to divide themselves into 5 groups of 4.Each group will (separately)study all of the course material together.In how many different ways can the 20 students divide themselves up into the study groups?

Mathematics Probability Level: Misc Level

During the course,19 different students post messages on the discussion boards on the course web site,including exactly 2 of the women.Consider the set of all students who posted discusssions.How many different sets of students are possible?

Mathematics Probability Level: Misc Level

A Committee consists of 8 married couples. In how many ways can a subcommittee of 5 be chosen so that at most one married couple belongs to the subcommittee?

Mathematics Probability Level: Misc Level

Some boys come into a room and sit in a circle.4 girls arrange themselves between 2 boys,The 4 girls sit all together.If 2880 different circles can be formed, How many boys are there?

Mathematics Probability Level: Misc Level

How many distinguishable ways can 6 identical white marbles and 3 identical black marbles be arranged in a line?

Mathematics Probability Level: Misc Level

A Committee consists of 8 married couples. In how many ways can a subcommittee of 5 be chosen so that at most one married couple belongs to the subcommittee?

Mathematics Probability Level: Misc Level

Some boys come into a room and sit in a circle, 4 girls arrange themselves between 2 boys.The 4 girls sit all together.If 2880 different circles can be formed, how many boys are there?

Mathematics Probability Level: Misc Level

A palindrome is a number that reads the same forward at it does backward.If a digit integer is selected at random, what is the probability that it will be a 5 digit palindrome

Mathematics Probability Level: Misc Level

There are 4 bananas , 5 applees and 6 oranges in a box.In how many ways can 4 fruits be selected so that there will be at least one of each kind of fruit in the selection?

Mathematics Probability Level: Misc Level

items are withdrawn at random from a box containing 7 pencils and 5 pens. What is the probability that the items selected are 2 pencils and 1 pen?

Mathematics Probability Level: Misc Level

A six-sided die with the first six prime numbers on the faces is rolled 4 times. What is the probability that an even number comes up on the top face at least once?

Mathematics Probability Level: Misc Level

In how many ways can 9 identical apples be partitioned into two identical baskets