Wait but how is the answer 60? Shouldn't it 125?? Since there are 5 possible numbers for t...

Ren March 20, 2024 2:59 am

Wait but how is the answer 60? Shouldn't it 125?? Since there are 5 possible numbers for the three digits ?

Responses
    minimiso March 20, 2024 3:30 am

    no, its picking 3 cards from 5. so 5 * 4 * 3 = 60

    Ren March 20, 2024 5:39 pm

    Why do you multiply by 4?

    Xai March 21, 2024 2:09 am
    Why do you multiply by 4? Ren

    It's part of the permutation formula. In this specific case, it would look like 5! / (5-3)!. The exclamation point means that you multiply all the numbers from 1 to your number together. So expanded it would look like (5*4*3*2*1) / (2*1). The 2s and 1s cross out, leaving you with what minimiso gave.

    Hope this helps!

    Great March 21, 2024 10:55 am
    It's part of the permutation formula. In this specific case, it would look like 5! / (5-3)!. The exclamation point means that you multiply all the numbers from 1 to your number together. So expanded it would lo... Xai

    I am confused. Shouldn't combination formula be applied for this question??
    I am not that good at math so can you explain why permutation is applied please.

    Xai March 21, 2024 12:39 pm
    I am confused. Shouldn't combination formula be applied for this question??I am not that good at math so can you explain why permutation is applied please. Great

    Permutations are for when order matters while combinations are for groups. To use what was given in the chapter, numbers that can be formed are 135 and 153. In permutations, those are two different things because the order is different. In combinations, those are counted as one thing because even if they're in a different order, they have the same objects in them.

    Hope this helps!

    Ren March 21, 2024 12:42 pm
    It's part of the permutation formula. In this specific case, it would look like 5! / (5-3)!. The exclamation point means that you multiply all the numbers from 1 to your number together. So expanded it would lo... Xai

    Ohhh God it. It was the permutation formula damn !
    Thanks for the explanation

    Ren March 21, 2024 12:44 pm
    I am confused. Shouldn't combination formula be applied for this question??I am not that good at math so can you explain why permutation is applied please. Great

    We're using permutation cuz in this case the order matters. Each arrangement would be considered a distinct permutation.

    Ren March 21, 2024 12:45 pm
    Permutations are for when order matters while combinations are for groups. To use what was given in the chapter, numbers that can be formed are 135 and 153. In permutations, those are two different things becau... Xai

    Oh wow the page hadn't updated for me when I was answering the question. But yes your answer is much more easier to understand

    Great March 25, 2024 3:40 am
    Permutations are for when order matters while combinations are for groups. To use what was given in the chapter, numbers that can be formed are 135 and 153. In permutations, those are two different things becau... Xai

    Thankyou