Engineering Board Exam Reviewer · Combinations · easy

In how many ways can 6 items be chosen from 8 different items?

  1. 20,160
  2. 56
  3. 28
  4. 48

Answer

C. 28

Solution

8C6=8C2=8·7/2=28.

More Combinations questions

  1. A committee of 3 is to be chosen from 12 members. In how many ways can this be done?
  2. In how many ways can a committee of 4 be selected from a group of 10 people?
  3. From a standard deck of 52 cards, how many different 5-card hands are possible?
  4. A committee of 5 is to be chosen from 6 men and 4 women. How many committees will have exactly 3 men and 2 women?
  5. How many diagonals does a decagon (10-sided polygon) have?
  6. From a standard deck of 52 cards, how many 5-card hands consist entirely of cards from a single suit?
  7. A basketball team has 12 players. How many different 5-player lineups (position doesn't matter) are possible?
  8. How many ways can you choose 2 red balls and 3 blue balls from a bag containing 5 red balls and 6 blue balls?
  9. A test has 12 questions, and a student must answer any 10. In how many ways can the student choose which questions to answer?
  10. In how many ways can 10 people be divided into two groups of 5 people each (the groups are not labeled)?

All Combinations questions