Probability and combination

Roman has eight guests, two of whom are Asif and Vasif. If the

guests will arrive in a random order, what is the probability that

Vasif will not arrive right after Asif?

• 0.6

• 0.875

• 0.7

• 0.8

If a club has a membership of ten, then how many three-man

committees are possible?

• 24

• 720

• 120

• 100

In how many ways can two math and three biology books be

selected from eight math and six biology books?

• 120

• 720

• 180

• 560

If 5 persons are to pose for a photograph by standing in a row, how

many different arrangements are possible?

• 120

• 720

• 540

• 630

A committee of four people is to be formed from six doctors and

eight dentists. Find the probability that the committee will consist of

the following:

a. All dentists

b. Two dentists and two doctors

c. One doctor and three dentists

In a company there are seven executives: four women and three

men. Three are selected to attend a management seminar. Find the

following probabilities:

a) All three selected will be women.

b) All three selected will be men.

c) Two men and one woman will be selected.

d) One man and two women will be selected.

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

• 5

• 3125

• 120

• 25

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

• 10!

• 120

• 540

Rolling a dice. What is the probability of rolling an even number?

• 1/2

• 1/3

• 1/6

• 0

In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are together.

• 1250

• 3600

• 4000

• 41472