Combination of Objects

Which of the following situation does not require combination?

• Forming a committee of councilors.

• Assigning rooms to conference participants.

• Selecting the top 3 winners in a singing contest.

• Choosing two literature books to buy from a variety of choices.

Which of the following requires combination?

• Issuing plate numbers.

• Lining up in paying bills.

• Arranging 6 people in a round table.

• Choosing five badminton players from 12 athletes.

Electing an auditor and a treasurer from 8 candidates is an example of ____.

• Permutation

• Combination

• Sets

• cannot be determined

The number of combinations of n objects taken r at a time is denoted by ________.

• 2,200

• 1,320

• 220

• 132

How many straight lines can be drawn using five points (A, B, C, D, and E), in which no three points are collinear?

• 0

• 5

• 6

• 10

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens be chosen?

• 19

• 30

• 38

• 180

A group of 6 women and 9 men will form four-person committees. How many committees are possible if it must consist of 2 men and 2 women?

• 51

• 102

• 540

• 1365

A group of 6 women and 9 men will form four-person committees. How many committees are possible if it must consist of at most 3 men?

• 180

• 504

• 1,224

• 1,239

A group of 6 women and 9 men will form four-person committees. How many committees are possible if it must consist of a minimum of 2 women?

• 126

• 735

• 1,044

• 1,365