On a math exam, students must answer 5 out of 7 questions from Part A and only 2 out of 4 questions in Part B. The order in which they choose the questions does not matter. In how many ways can a student answer the questions on this exam?

Heidi has 4 necklaces and 6 pairs of earrings. In how many different ways can she select a necklace and a pair of earrings to wear?

A person owns three suits, three ties and ten shirts. How many ways can They select a traveling wardrobe of two suits four ties and six shirts?

Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class has 31 students, in how many ways can the students be chosen to help?

A basketball team contains 3 freshmen and 5 sophomores. The players are asked to line-up for a team picture. The number of ways for the players to line-up is O a hp 144 40

A ski team has five entrants in a men’s ski event. The coach would like the 1st, 2nd, and 3rd places to go to the team members. In how many ways can the five team entrants achieve the first three positions?

You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many different ways could you and your friends assign the rooms? (Enter your answer as a whole number.)

You baked seven cupcakes of different flavor. In how many ways can you give two cupcakes each to three of your friends and keep one for yourself?

Each day, Mr. Ling has a boy and a girl summarize the assignment for the day. There are 7 boys and 8 girls in his group. In how many different ways can the teacher select the two students?

Professor Hermann gives his class 12 potential test questions, he will then put 5 of the 12 questions on the real test. In how many ways can Professor Hermann make up the test?