Bootcamp for Question Type 6: Applying formula to disjoint cases - IB | RevisionDojo
Question Type 6: Applying formula to disjoint cases Bootcamps
Question 1
Skill question
From a group of 6 men and 8 women, how many ways can a committee of 5 be formed with at most 2 men?
Question 2
Skill question
How many ways can you choose 7 students from 10 girls and 8 boys so that the number of girls is between 3 and 5 inclusive?
Question 3
Skill question
From 5 boys and 4 girls, how many ways to form a committee of 4 with more girls than boys?
Question 4
Skill question
From 8 red balls and 6 blue balls, how many ways can you select 5 balls with at least 3 red balls?
Question 5
Skill question
In how many ways can you form a 4-person committee from 6 teachers and 7 parents with at most 2 parents?
Question 6
Skill question
In how many ways can 5 books be chosen from 7 novels and 5 textbooks if at least 2 are novels and at most 3 are textbooks?
Question 7
Skill question
How many bit strings of length 8 contain at least 3 ones and at most 5 zeros?
Question 8
Skill question
A soccer team selects 11 players from 18 candidates: 8 defenders, 5 midfielders, and 5 forwards. How many selections have at least 3 defenders and at most 2 forwards?
Question 9
Skill question
How many 5-digit numbers with distinct digits can be formed using digits 1–7 if the number contains at least two even digits?
Question 10
Skill question
From 9 points, 4 points are chosen to form a quadrilateral. How many quadrilaterals contain at least one of two special points A and B?