How many pairs of letters from the English alphabet are possible?

A .................... of n different elements is an ordering of the elements such that one element is first, one is second, one is third and so on.

One important application of the Fundamental Counting Principle is in determining the number of ways that n elements can be arranged (in order).

A club has nine members.
• In how many ways can a president, vice president, and secretary be chosen from the members of this club?

How many permutations of {a, b, c, d} that are ended with c ?

A random experiment is a process whose outcome is certain

The set of all possible outcomes of experiment :

P ( E ) ∈

P ( S ) =

A experiment consists of tossing a coin and then rolling a 6-sided die. Describe the sample space the sample space consists of ……… outcomes

Compound event is an event that consists of a single outcome

The probability that in the next (say) 5 hours there will be rain is based on current weather situations, wind pattern, nearby weather, barometric pressure etc. One can predict this on the basis of his past experience about weather and rain, and believes, to predict the rain in next 5 hours.

when A⋂B = ∅ ,they are said to be :

Complement of event is the set of all outcomes in a sample space that are
not included in event E

In how many ways can a committee of 5 persons be formed out of 6 men and 4 women when at least one women has to be necessarily selected?