maths

posted by .

6 people are playing Secret Santa for Christmas. They will each give one gift to someone, and each receive one gift from someone. They are not allowed to give their gift to themselves. How many different ways are there to do so?

  • maths -

    BRILLIANT SCHOLARS ROCKS !

  • maths -

    Let's think of the question this way:

    Suppose you sit the 6 people around a round table.
    Then everybody gives a present to the person on their left.
    So everybody has given a present and received a present.
    If we change the "arrangement" of the 6 people around the table, we have a different Secret Santa arrangement.
    So all we have to do is calculate the number of ways we can sit 6 people around a round table, (or let them form a circle)
    that would be 6!/6 = 5! = 120


    (I divided by 6. Here is why. If everybody got up and moved one to the right, the order would not change, and we can do that 6 times)

  • maths -

    no, its wrong

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. english

    december is the month for gift giving.write about a gift that you would like to give to a special person?
  2. english

    beautiful china figures Are you look for an ideal gift for a friend or loved one?
  3. Math

    Six people are playing Secret Santa for Christmas. They will each give one gift to someone, and each receive one gift from someone. They are not allowed to receive their own gift. How many different ways are there to exchange gifts?
  4. math

    A store gave away a $5 gift card to every sixth customer and a $10 gift card to every tenth customer.Which customer would be the first one to receive both a $5 and a $10 gift card?
  5. Math

    The clock struck midnight as the elves roared with approval for Santa to give his gift to Macy. How many hours would pass by if Santa could give out another gift tomorrow at midnight?
  6. math

    Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 16 of the 58 boxes on the shelf have the secret decoder ring. The other 42 boxes on the shelf have a different …
  7. math

    Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 16 of the 58 boxes on the shelf have the secret decoder ring. The other 42 boxes on the shelf have a different …
  8. please show how to set up this problem

    Kim, Beth, and Jenny gave money to buy their mother a birthday gift. The gift cost $40. Kim gave 35% of the money for the gift. Beth gave 3/8 of the money for the gift. How much money did Jenny give to buy the gift?
  9. MATH

    Plz I do not understand. You and your two sisters bought a gift for your brother. You paid 7.50 for your share (one third of the gift) . What is the total cost of the gift
  10. English

    English - rfvv, Wednesday, March 8, 2017 at 2:32pm Thank you for your help. One more question... 6. I got a nice gift on my birthday. 7. I got a nice gift for my birthday. (In #6, I received a gift on the date of the birthday. Is it …

More Similar Questions