QUARTER 3_WEEK 5 PROBLEMS INVOLVING PERMUTATIONS AND COMBINATION

Suppose you want to arrange your Mathematics, Science, English and Filipino books on a shelf. In how many ways can you do it?

• 24 ways

• 720 ways

• 21 ways

• 360 ways

In how many ways can seven persons sit at a round table if they can sit on any chair?

• 24 ways

• 720 ways

• 21 ways

• 360 ways

A box contains 7 different marbles. In how many ways can you select 5 marbles for you to play with your younger sibling?

• 24 ways

• 720 ways

• 21 ways

• 360 ways

In how many ways can the letters of the word “LEADER” be arranged?

• 24 ways

• 720 ways

• 21 ways

• 360 ways

There are six persons in an office. A group consisting of three persons has to be formed. In how many ways can the group be formed?

• 20 ways

• 350 ways

• 63ways

• 1200 ways

In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?

• 20 ways

• 350 ways

• 63ways

• 1200 ways

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

• 20 ways

• 350 ways

• 63ways

• 1200 ways

A jar contains 5 white balls, 8 black balls and 6 red balls. In how many ways can 5 balls be selected such that there are 2 red balls, 2 white balls and 1 black ball?

• 20 ways

• 350 ways

• 63ways

• 1200 ways

A box contains 5 red balls, 7 green balls and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color?

• 525 ways

• 210 ways

• 21 ways

• 756 ways

Out of 7 consonants and 4 vowels, how many words (with or without meaning) of 3 consonants and 2 vowels can be formed?

• 25200 ways

• 210 ways

• 21 ways

• 120 ways