SOLUTION: Five cards numbered with the digits 3,4,5,6,7,8 are shuffled and laid in a row to make a five-digit number. What is the probability that this number is divisible by 9?

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Question 1138214: Five cards numbered with the digits 3,4,5,6,7,8 are shuffled and laid in a row to make a five-digit number. What is the probability that this number is divisible by 9?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


This could have been an interesting problem if you had stated it correctly....

With one digit on each card, 6 different digits and only 5 cards is inconsistent.

Re-post your problem; and pay attention to what you have written when you submit your post.
Answer by ikleyn(52811)   (Show Source): You can put this solution on YOUR website!
.
Six cards numbered with the digits 3,4,5,6,7,8 are shuffled and laid in a row to make a five-digit number.
What is the probability that this number is divisible by 9?
~~~~~~~~~~~~~~~ 



3 + 4 + 5 + 6 + 7 + 8 = 33.


a)  33 - 3 = 30

b)  33 - 4 = 29

c)  33 - 5 = 28

d)  33 - 6 = 27

e)  33 - 7 = 26

f)  33 - 8 = 25.



So, we have 6 cases (6 sums), and we see that among the sums of any 5 cards, only one is divisible by 9 : 
it is case d), where the sum is 27.


Therefore, the probability under the question is  .

Solved and answered.


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