Engineering Board Exam Reviewer · Combinations · medium

A bag has 6 red and 5 blue balls. In how many ways can 4 balls be drawn so that both colors are present?

  1. 315
  2. 325
  3. 330
  4. 310

Answer

D. 310

Solution

All draws: 11C4=330. Subtract all-red 6C4=15 and all-blue 5C4=5: 330-15-5=310.

More Combinations questions

  1. The letters of the word EQUATION are used to form 5-letter arrangements (no repetition) that contain exactly 3 vowels and 2 consonants…
  2. How many 5-card poker hands from a standard 52-card deck contain exactly 2 aces?
  3. 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?
  4. In how many ways can 6 items be chosen from 8 different items?
  5. A committee of 3 is to be chosen from 12 members. In how many ways can this be done?
  6. In how many ways can a committee of 4 be selected from a group of 10 people?
  7. From a standard deck of 52 cards, how many different 5-card hands are possible?
  8. 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?
  9. How many diagonals does a decagon (10-sided polygon) have?
  10. From a standard deck of 52 cards, how many 5-card hands consist entirely of cards from a single suit?

All Combinations questions