GATE 2023 Discrete Mathematics Quiz 27

In an exam any 12 out of 15 questions are to be compulsorily attempted.

In how many ways can the questions be attempted?

Find the number of ways in which 21 desktops can be distributed among 3 labs in a college such that each lab gets at least one desktop?

Consider the letters of the word ARRANGEMENT. In how many ways can the letters be arranged?

The number of bit strings of length 8 that will either start with 1 or end with 00 is?

In how many ways 8 girls and 8 boys can sit around a circular table so that no two boys sit together?

Consider the letters of the word TOGETHER. How many arrangements will start and end with a vowel?