5A05 Counting 1

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

An election of a working group wants to select three students from a group of six candidates. In how many ways can this be done?

• 6!

• 120

• 20

• 3!

The Volley ball club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

• 720

• 120

• 10!

20 players join a chess competition. Each of them plays with each other once. How many matches are there?

• 90

• 145

• 190

• 380

Three letters are selected from the word ‘QUESTION’ and arranged in order. How many ways are there to arrange the words?

• 56

• 70

• 336

• 1680

Ten different books are arranged in a row, where two of them are fictions. If two fictions must be put together, how many ways are there to arrange the books?

• 8!

• 9!

• 2 x 8!

• 2 x 9!

A committee of 5 members is selected from 6 men and 3 women. Find the number of ways to select the committee if at least 3 men are selected.

• 20

• 60

• 91

• 111

5 cards are selected from a pack of 52 playing cards. If exactly two ‘heart’s are selected, how many ways are there?

• 52C5

• 13C2

• 13C3 x 39C2

• 13C2 x 39C3

In a skating competition, 9 participants have reached the final test. if only 3 of them got on the podium to obtain the silver, gold and bronze medal. How many different possibilities do you have for these three places?

• 210

• 504

• 6

• 720

8 desks placed in the first line of the room, we want to determine how many ways we can arrange 5 students

• 6720

• 40

• 56

• 120