In a group of music students, 9 play the harp and 10 play the horn. In how many ways can 3 harp players and 5 horn players be chosen?
In a group of music students, 9 play the harp and 10 play the horn. In...
In a group of 110 students 63 play basketball, 32 play soccer and 15 play both. (a) Draw a Venn diagram with numbers to describe the above situation. (b) How many students only play soccer? (c) How many students play neither of those sports? (d) If we select a student at random in this group, what is the probability that they play neither of those two sports?
9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors. a) In how many ways can a group of 6 students be selected from this group? b) If the study group is to consist of 2 freshmen, 3 sophomores, and 1 junior, how many different groups are possible? c) What is the probability that a group of 6 students will consist of 2 freshmen, 3...
In a group of 17 students, there are 3 freshman. How many different ways can 3 students be chosen from the group if at least one of them must be a freshman?
A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how many ways can the group that will not take part be chosen? a. The number of ways to form a 4-student committee is A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how many ways can...
3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....
. In a group of 191 students, 10 are taking French, business and music, 36 are taking French and business, 20 are taking French and music, 18 are taking business and music, 65 are taking French, 76 are taking business, and 63 are taking music. Let F. B, M be the sets of students taking at least French, business, or music, respectively (i.e. that subject and possibly, but not necessarily, others). Find the number of students in the
A committee of 4 is selected from a group of 9 faculty and 45 students. In how many different ways can the committee be selected if it must consist of one faculty and three students?
Please provide a brief logical explanation of your solution. 10 players enter a tennis tournament. The organizers want to match up the 10 players into 5 groups of 2 to play each other in the first round. How many ways are there to pair the players if (a) there are no further restrictions? (b) ...5 of the 10 players are ranked higher (top seeds) than the other 5, and the high-ranked players must be paired with low rank players? (e)...
Can you help me solve these: 6. From 10 mathematics students, four are chosen to represent a math symposium. In how many ways can this be done with no restrictions? A) 210 B) 120 C) 200 D) 126 E) 160 7. From a group of 10 boys and 8 girls, 6 students are chosen at random. How many of these selections consist of exactly four girls? A) 18564 B) 3150 C) 115 D) 225 E) 18500 8. From 14 mathematics...
Question A9 In a group of 20 students, 7 play badminton, 10 play football and 3 play both badminton and football (a) Show this information on a Venn diagram. A student is selected at random. B denotes the event 'the student plays badminton' and F denotes the event the student plays football'. (b) Find (BUF) and p(B'OF) [2] [1]