Marie has 25 cards. Each card has a different symbol on it. Marie gives one card to Shelley and one card to Pauline. In how many different ways can Marie do this?
there are 25 different choices for the card to give to Marie now that shes given one away, there are 24 different choices for the card to give Pauline total ways 25*24
Pretty sure this can be found using factorials. 25! ¬¬¬¬¬ 2!*23! there are 25 possible cards to choose from, each time you take 2 out your left with 23, this gives you and answer of 300 combinations
there are 25 different choices for the card to give to Marie now that shes given one away, there are 24 different choices for the card to give Pauline total ways 25*24
that's great tysm. and sorry just to check, if there was a third person, would it be 25 x 24 x 23?
i think its either that or 24*23 either one- I'm actually curious to know so let say if someone else replies
I would believe its 25*24*23 if it's based on possibilities from the start but that's because I don't understand the logic of just doing 24*23, could you please explain?
Its just as simple as multiplying the number of choices of card each person has e.g for the two people above its the initial number of cards (n) multiplied by the initial number of cards minus 1 (n-1) so n*(n-1).
For adding more people you just continue using this logic so 4 people for example would be n*(n-1)*(n-2)*(n-3).
Its this easy as they are only taking one card each. It would be more complicated if they took more than one card each or there were duplicates or cards etc.
I would believe its 25*24*23 if it's based on possibilities from the start but that's because I don't understand the logic of just doing 24*23, could you please explain?
Possibly...although I would have hoped they had more of a mathematical reason for thinking of 24*23, I was intrigued to know what it was but as you confirmed, I'm pretty sure it's 25*24*23.