Determine the "n" and "p" in the following problems and write them in Combination notation. a)How many teams of at least 5 students and at most 7 students can be chosen from 15 students? b) A magic show has 10 people in the audience. For the next act, the magician needs 2 people from the audience. In how many ways can he invite the 2 people from the audience? c) If a student is to answer any six problems on a test consisting of nine problems, in how many different ways can the student select the six problems? d) A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways can they be selected if the new members consist of at least 2 females?
Determine the "n" and "p" in the following problems and write them in Combination notation. a)How many teams of at least 5 students and at most 7 students can be chosen from 15 students? b) A magic show has 10 people in the audience. For the next act, the magician needs 2 people from the audience. In how many ways can he invite the 2 people from the audience? c) If a student is to answer any six problems on a test consisting of nine problems, in how many different ways can the student select the six problems? d) A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways can they be selected if the new members consist of at least 2 females?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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- Determine the "n" and "p" in the following problems and write them in Combination notation.
a)How many teams of at least 5 students and at most 7 students can be chosen from 15 students?
b) A magic show has 10 people in the audience. For the next act, the magician needs 2 people from the audience. In how many ways can he invite the 2 people from the audience?
c) If a student is to answer any six problems on a test consisting of nine problems, in how many different ways can the student select the six problems?
d) A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways can they be selected if the new members consist of at least 2 females?
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