posted by .

Hi, can I have some help with my permutation/combination homework?

"Find the number of 5-card hands that contain the cards specified."

1. five red cards
2. five cards, none are number cards
3. five cards of the same suit

  • Algebra -

    1. there are 13 red cards, you want 5 of those
    number of hands with 5 red = C(13,5) = 1287

    2. there are 16 non-number cards ,
    number of 5 card hands from that is
    = 4368

    3. could be 4 different suits, in #1 we did the reds
    so in this case it would be 4xC(13,5) = 4(1287) = 5148

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A standard deck of cards is made up of four suits with 13 cards in each suit (total of 52 cards). If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs.
  2. College Math

    A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting ยท an even number ten or less given the card is a not …
  3. permutation and combination

    The game of euchre uses only the 9s, 10s, jacks, queens, kings, and aces from a standard deck of cards How many five-card hands have at least two red cards?
  4. Math

    Need help on how to solve this problem.. Five cards are chosen from a deck of playing cards and put into a pile. Three of the cards are red and 2 of the cards are black. A second pile is made using 2 red cards and b black cards. One …
  5. math

    A box contains 4 red cards, 6 blue cards, and 10 green cards. What is the smallest number of cards we must remove from the box to make sure that we have 2 cards of the same color?
  6. math

    Tarot cards are used for telling fortunes, and in a reading, the arrangement of the cards is as important as the cards themselves. How many different readings are possible if five cards are selected from a set of nine Tarot cards?
  7. math

    Barry's deck of cards contains 40 blue cards and 70 red cards. Max's deck of cards contains the same number of blue cards, but the ratio of blue cards to red cards is 8:9. How many total cards does Max's deck of cards contain?
  8. 3rd grade math

    A pile of index cards has a mixture of white, pink, yellow, red, and blue cards. Some cards are lined, and some are unlined. The total number of cards is 150. 2/5 of the cards are blue, 10 cards are white, and 10 cards are red. Half …
  9. Calculus

    Joe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards …
  10. Math

    You make cards and sell them for $2.50 each. It costs $1.15 to print each card. You also pay $50 for supplies. How many cards must you sell to meet the cost for making the cards (you break even)?

More Similar Questions