Permutation, Combination & Probability
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Exam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.
Q1.
In how many different ways can the letters of the word SUCCESS be arranged?
Q2.
From 5 men and 4 women, a committee of 4 members with at least 2 women is to be formed. In how many ways can this be done?
Q3.
Two dice are thrown together. What is the probability that the sum of the numbers is 8?
Q4.
A bag contains 3 red and 2 white balls. Two balls are drawn one after the other without replacement. What is the probability that both are red?
Q5.
In how many ways can 10 identical apples be distributed among 3 children so that each child gets at least one apple?