Mastering Permutations and Combinations

How many different ways can the letters of the word "MATH" be arranged?

Mathematical Equivalence

ON

In how many ways can a committee of 3 members be selected from a group of 10 people?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Using the counting principle, how many different two-letter codes can be created using the letters A, B, C, and D without repeating letters?

Mathematical Equivalence

ON

What is the probability of randomly arranging the letters in the word "DEED" such that the two E's are next to each other?

Mathematical Equivalence

ON

From a group of 8 women and 6 men, a committee of 5 people is to be formed. How many different committees can be formed if the committee must consist of 3 women and 2 men?

Mathematical Equivalence

ON

If there are 4 different books on mathematics, 3 different books on physics, and 2 different books on chemistry, in how many ways can the books be arranged on a shelf if the books on the same subject must be kept together?

Mathematical Equivalence

ON

In how many ways can 5 different prizes be distributed among 4 students if each student can receive any number of prizes?

Mathematical Equivalence

ON

What is the probability of getting exactly two heads in four flips of a fair coin?

If a password is made by choosing three distinct letters from the alphabet, with letters being able to repeat, how many different passwords can be created?