Combination - Assessment

1.

Multiple Choice

3 mins

1 pt

Is getting 2 coins from a piggy bank containing 10-peso, 5-peso, and 1-peso coins, a permutation or combination problem?

Permutation

Combination

2.

Multiple Choice

3 mins

1 pt

Is arranging folder files in a cabinet, involves a permutation or a combination problem?

Permutation

Combination

3.

Multiple Choice

3 mins

1 pt

Assigning different roles for each of the five members in a group is an example of a permutation or a combination problem?

Permutation

Combination

4.

Multiple Choice

3 mins

1 pt

Electing 2 Peacekeepers from a class of 35 students involves permutation or combination?

Permutation

Combination

5.

Multiple Choice

3 mins

1 pt

One hundred names are put into a hat and three names will be drawn to win Php5000 each is an example of a permutation or a combination problem?

Permutation

Combination

6.

Multiple Choice

3 mins

1 pt

In how many ways can a committee of 7 members be selected from 8 seniors and 7 juniors?

2,450 ways

5,040 ways

6,435 ways

7.

Multiple Choice

3 mins

1 pt

In how many ways can 5 retreat venues be selected from 9 places in Luzon, 7 places in Visayas, and 4 places in Mindanao?

15,504 ways

3,024 ways

2,352 ways

8.

Multiple Choice

3 mins

1 pt

How many ways can a triangle be drawn using any 3 of

the 19 points that lie on a circle?

323 ways

969 ways

5,814 ways

9.

Multiple Choice

3 mins

1 pt

A certain test contains 10 true-or-false and 8 multiple-choice questions. Karen is required to answer 5 true-or-false and 5 multiple-choice questions only. In how many ways can Karen select the 10 questions she will answer?

14,400 ways

43,758 ways

14,112 ways

10.

Multiple Choice

3 mins

1 pt

Patrick is planning to give Abby a flash drive with a compilation of his 10 original songs. In how many ways can he choose the songs from his collection of 25 original songs if one of the songs must be Chandelier?

3,268,760 ways

2,042,975 ways

1,307,504 ways

11.

Multiple Choice

3 mins

1 pt

Three different letters are to be chosen from the first 10 letters of the English alphabet. How many choices contain at least 1 vowel?

85 choices

120 choices

2,100 choices

12.

Multiple Choice

3 mins

1 pt

There are 10 male and 12 female singers in a choir. In how many ways can 7 singers be selected such that all are female singers?

792 ways

5,040 ways

170,544 ways

13.

Multiple Choice

3 mins

1 pt

There are 10 male and 12 female singers in a choir. In how many ways can 7 singers be selected such that there are exactly 2 male singers?

231 ways

35,640 ways

45 ways

14.

Multiple Choice

3 mins

1 pt

There are 10 male and 12 female singers in a choir. In how many ways can 7 singers be selected such that there are at least 5 female singers?

271,491 ways

2,508 ways

45,672 ways

15.

Multiple Choice

3 mins

1 pt

There are 10 male and 12 female singers in a choir. In how many ways can 7 singers be selected such that there are at most 2 male singers?

45,672 ways

44,880 ways

5,082 ways

16.

Multiple Choice

3 mins

1 pt

There are 12 junior and 13 senior high school students who applied as exchange students in an International Scholarship program. If only 6 applicants will be accepted, in how many ways can they be selected if there are no restrictions?

720 ways

177,100 ways

2,640 ways

17.

Multiple Choice

3 mins

1 pt

There are 12 junior and 13 senior high school students who applied as exchange students in an International Scholarship program. If only 6 applicants will be accepted, in how many ways can they be selected if the selection committee decided to choose 3 juniors and 3 seniors?

506 ways

177,100 ways

62,920 ways

18.

Multiple Choice

3 mins

1 pt

There are 12 junior and 13 senior high school students who applied as exchange students in an International Scholarship program. If only 6 applicants will be accepted, in how many ways can they be selected if only one junior will be selected?

15,444 ways

1,287 ways

42,504 ways

19.

Multiple Choice

3 mins

1 pt

There are 12 junior and 13 senior high school students who applied as exchange students in an International Scholarship program. If only 6 applicants will be accepted, in how many ways can they be selected if the majority of them are seniors?

62,634 ways

64,350 ways

17,160 ways

20.

Multiple Choice

3 mins

1 pt

Which is equivalent to the combination of n elements taken r at a time or nCr?

$\frac{n!}{\left(n-r\right)!}$

$\frac{n!}{r!\left(n-r\right)!}$

$\frac{r!}{n!\left(r-n\right)!}$

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