Combination

Calculate the number of ways to select 4 players from a group of 7 badminton players for a double match

• 28

• 35

• 840

• 5040

A committee that consists of 6 teachers is to be chosen from 7 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.

• 45

• 270

• 350

• 924

Aiman wants to choose 7 compact discs from 5 local compact discs and 9 foreign compact discs . Calculate the number of different choices if his choices must have at least 3 local compact discs.

• 3432

• 1716

• 1683

• 262

A tennis team that consists of 8 students is to be chosen from a group of 6 Form four students and 8 Form five students . Calculate the number of teams that can be formed if the number of Form four students in the team must be more than the number of Form five students.

• 91

• 364

• 3003

• 9408

Mr. Atiff wants to put 10 papayas into 3 baskets. He wants to put 5 papayas into the first basket, 3 papayas into the second basket and the rest into the third basket. Calculate the number of different ways he can put the papayas into the three baskets.

• 2520

• 2250

• 263

• 120

An additional mathematics exam paper 2 consists of 15 questions. Find the number of combinations to answer 12 questions if a student is required to answer 6 question from section A which consists 6 question, 4 question from section B which consists 5 questions and 2 questions from section C which consists 4 questions.

• 12

• 30

• 455

• 544

Two lines are parallel. On the first line, there are two points, P and Q. On the second line, there are 6 points, A,B,C,d,E and F. Calculate the number of triangles that can be formed by drawing straight lines that pass through any 3 points.

• 6

• 30

• 36

• 66

A committee that consists of 5 workers is to be chosen from a couple (husband and wife), 5 male workers and 3 female workers. Calculate the number of ways the committee can be formed if the couple must be chosen

• 56

• 66

• 112

• 252

A group of 4 representatives is to be chosen from 5 female prefects and 3 male prefects. Calculate the number of ways the group can be formed if the number of females must exceed the number of males.

• 20

• 35

• 70

• 150

A school choir which consists of 8 singer is to be chosen from 7 male students and 10 female students. Calculate the number of different choirs that can be formed if the choirs must consist of not less than 6 female students.

• 4295

• 5925

• 5295

• 5925