Permutation-Combination

John is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many different ways can John schedule these 2 activities?

• 42

• 21

• 7

• 13

A committee that consist of 6 teachers is to be chosen from 4 male teachers and 5 female teachers. Find the number of different committee that can be formed if 3 male teachers and 3 female teachers are required in the committee.

• 120

• 60

• 84

• 40

Find the number of words, with or without meaning, that can be formed with the letters of the word "APPLE".

• 20

• 30

• 60

• 120

Tags

CCSS.HSS.CP.B.9

From a group of 4 boys and 3 girls, in how many ways can we form a group 3 with at least 2 girls?

• 35

• 13

• 12

• 19

In how many ways can 4 doctors and 3 nurses sit at a round table if the nurses sit next to each other?

• 720

• 144

• 5040

• 72

A student has to answer 8 questions in a 10-question test. If she has to answer at least 3 questions of the first 4, in how many ways can she select the questions?

• 44

• 45

• 39

• 24

There is a group of 3 teachers and 6 students. A club of 5 people including 2 teachers will be formed. In how many different ways can this club be formed if the teacher Mr. Smith and the student Sue must be in the club?

• 126

• 60

• 45

• 20

Find the number of combinations of A with 3 elements that contain either b or e.

• 12

• 6

• 10

• 8