If you add up the nine numbers 1 - 9, you get 45. If you multiply the nine numbers 1 - 9, you get 362880.
Now, suppose I have nine one-digit numbers. If I add all nine numbers and get 45, and if I multiply all nine numbers and get 362880 as the total product, can I say that the nine numbers I have are 1, 2, 3, 4, 5, 6, 7, 8, 9?
yes!
ReplyDelete-.- how long u take to solve this puzzle?
ReplyDeleteor u just hamdam yes or no?
anyway, even a 50% chances puzzle u also wrong. too bad.
1,5,5,5,7,7,7,7,1.20909620991
ReplyDelete-.- genius
ReplyDeleteanother answer is ONE, TWO, THREE, FOUR, FIVE, SIX, SEVEN, NINE
ReplyDeletesam u forgot EIGHT liao.
ReplyDeletesolution:
ReplyDeletewe know,
362880 = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9
then we try to factor it
362880 = 1 x 2 x 3 x (2 x 2) x 5 x (2 x 3) x 7 x (2 x 2 x 2) x (3 x 3)
362880 = 1 x 2^7 x 3^4 x 5 x 7
and we also know that
45 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
so, if we take out 1, 5, and 7 then
45 - 1 - 5 - 7 = 32.
the solution for the other combination is
i. the total of the remaining 6 digit is equal to 32, and
ii. the digit should be able to factor by 2 or 3.
one of the solution is 1, 2, 4, 4, 4, 5, 7, 9, 9.
can u get anther one?
and what if 1 is not part of the digit? can we still have a valid solution?
4,5,5,5,5,6,6,8,1/(720,000/362,880)
ReplyDeletewhat orh, you say " can I say that the nine numbers I have are 1, 2, 3, 4, 5, 6, 7, 8, 9?" then i say yes lo, u din ask me to provide another set of number oso!!
ReplyDelete