VI How many combinations are there if 11 distinct things taking 4 at a time?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
icon
Related questions
Topic Video
Question
VI How many combinations are there if 11 distinct things taking
4 at a time?
In how many different ways can 7 of 19 teachers be
selected to assist with the preparation of exams?
VII
VIII A statistics lecturer sets 13 questions in an end of semester
exam and students were asked to attempt any 8 of them. Find the
number of ways of selecting these questions.
IX In how many ways could a committee comprising of 8 men
and 6 women be formed from a group of 11 men and 9 women?
X A box contains 13 red, 8 white and 9 blue balls. If three balls
one drawn at random simultaneously, find the probability that
A all are red
B 2 are red and 1 white
C at least one is red
drawn
D 1 of each colour is
XI In a group of 11 boys and 9 girls, 5 are to be selected. In how
many ways can they be selected such that at least one boy
should be there?
XII There are 9 periods in each working day of a school. In
how many ways can one organize 5 subjects such that each
subject is allowed at least one period?
Transcribed Image Text:VI How many combinations are there if 11 distinct things taking 4 at a time? In how many different ways can 7 of 19 teachers be selected to assist with the preparation of exams? VII VIII A statistics lecturer sets 13 questions in an end of semester exam and students were asked to attempt any 8 of them. Find the number of ways of selecting these questions. IX In how many ways could a committee comprising of 8 men and 6 women be formed from a group of 11 men and 9 women? X A box contains 13 red, 8 white and 9 blue balls. If three balls one drawn at random simultaneously, find the probability that A all are red B 2 are red and 1 white C at least one is red drawn D 1 of each colour is XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected such that at least one boy should be there? XII There are 9 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning