SOLUTION: The number 2367 is not divisible by 11. Of all possible permutations of these four digits, how many result in a number divisible by 11? Answer: 8 permutations (How?)

Question 1037432: The number 2367 is not divisible by 11. Of all possible permutations of these four digits, how many result in a number divisible by 11?
Answer: 8 permutations (How?)
Found 2 solutions by thesvw, ikleyn:
Answer by thesvw(77) (Show Source): You can put this solution on YOUR website!
www.todayifoundout.com/index.php/2012/11/math-tricks/ Read it. The 1st phase says how to find if a number divisible by 11.
3267. Theres (3 + 6) - (7 + 2) = 0 Which is divisible by 11.
So a permutation would be 3762. You can switch 3 and 6 and then 7 and 2. There you end up with 4 permutations.
And you can take this too as a permutation. 7623. ( 7+ 2) - (6 + 3) = 0 Which is divisible by 11.
So a permutation would be 3762. You can switch 3 and 6 and then 7 and 2. There you end up with 4 permutations.
All together 8 permutations
Answer by ikleyn(52806) (Show Source): You can put this solution on YOUR website!
.
See the lesson Divisibility by 11 rule in this site.

See also the associate lessons with it.

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