Engineering Board Exam Reviewer · Combinations · medium
How many 5-card poker hands from a standard 52-card deck contain exactly 2 aces?
- 103,776
- 132,600
- 17,296
- 69,184
Answer
A. 103,776
Solution
Choose the 2 aces: 4C2=6. Choose the other 3 cards from the 48 non-aces: 48C3=17,296. Total =6×17,296=103,776.
More Combinations questions
- A committee of 4 is chosen from 7 men and 5 women. In how many ways can it be chosen if it must include at least 2 women?
- In how many ways can 6 items be chosen from 8 different items?
- A committee of 3 is to be chosen from 12 members. In how many ways can this be done?
- In how many ways can a committee of 4 be selected from a group of 10 people?
- From a standard deck of 52 cards, how many different 5-card hands are possible?
- 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?
- How many diagonals does a decagon (10-sided polygon) have?
- From a standard deck of 52 cards, how many 5-card hands consist entirely of cards from a single suit?
- A basketball team has 12 players. How many different 5-player lineups (position doesn't matter) are possible?
- How many ways can you choose 2 red balls and 3 blue balls from a bag containing 5 red balls and 6 blue balls?