1. In how many ways can you select a committee of 4 people from a group of 10, if 2 people refuse to work together on the same committee?

2. A combination lock has 4 dials, each with the digits 0 through 9. If the lock can be opened by entering any sequence of 4 digits, how many possible combinations are there?

3. In how many ways can 4 boys and 4 girls be seated in a row if no two girls are allowed to sit next to each other?

4. A bag contains 10 red balls and 6 blue balls. If 3 balls are drawn at random without replacement, what is the probability that all 3 balls are red?

5. In how many ways can the letters in the word "MATHEMATICS" be arranged such that the vowels (A and I) are always separated?

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The detailed answer for the above question is provided below 1 There are 8 people who are willing to work together so we need to choose 4 people out o... View the full answer