CSAT Practice Questions – Permutations and Combinations – Quiz 1

1. Find the total number of ways in which the letters of the word ‘ALICE’ can be arranged such that all consonants come together?

2. In a question paper, there are five multiple choice type questions. Each question has three choices. If attending a question is not mandatory, then find the total number of possibilities by which a student can attend the paper?

3. How many three digit numbers are there such that at least one of its digits is 4?

4. How many natural numbers with distinct digits can be formed using the digits 0,1 and 2?

5. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

6. A box contains 10 black balls, 10 blue balls, 12 green balls and 15 yellow balls. Find the smallest number ‘n’ such that any ‘n’ balls drawn from the box randomly must contain at least five balls of each colour?

7. A box contains 10 black balls, 10 blue balls, 12 green balls and 15 yellow balls. Find the smallest number ‘n’ such that any ‘n’ balls drawn from the box randomly must contain at least five balls of each colour?