Solution Found!
a. Evaluate 7C3 using factorials. b. What is the difference between a permutation and a
Chapter 9, Problem R.5(choose chapter or problem)
a. Evaluate \({ }_{7} C_{3}\) using factorials.
b. What is the difference between a permutation and a combination?
c. The 12th-grade class at Scorpion Gulch High School has 100 students: 53 girls and 47 boys. In how many different ways could they select the following?
i. A group of four students to be class officers
ii. A president, a vice president, a secretary, and a treasurer
iii. A seven-member debate team consisting of four boys and three girls
d. If a seven-member debate team is selected at random as in part c, what is the probability that it will have four boys and three girls?
Questions & Answers
QUESTION:
a. Evaluate \({ }_{7} C_{3}\) using factorials.
b. What is the difference between a permutation and a combination?
c. The 12th-grade class at Scorpion Gulch High School has 100 students: 53 girls and 47 boys. In how many different ways could they select the following?
i. A group of four students to be class officers
ii. A president, a vice president, a secretary, and a treasurer
iii. A seven-member debate team consisting of four boys and three girls
d. If a seven-member debate team is selected at random as in part c, what is the probability that it will have four boys and three girls?
ANSWER:Step 1 of 4
a) Evaluating using factorials: