Each one having 100 factors ...
10^{100}=10x10x10x10x10x10x10x10x10x...x10x10x10x10x10x10x10x10x10 ,
100!=1x2x3x4x5x6x7x8x9x...x92x93x94x95x96x97x98x99x100 and
100^{100}=100x100x100x100x100x100x100xx100x100x...x100x100x100x100x100x100x100xx100x100 .
http://math.stackexchange.com/questions/151588/factorial-vs-power-sequence.
7-6+9+(21-24:(1:(1-2)))=10+21-24:(-1)= ... .
This case is relatively easy. 77-10 is 67 which has no contradiction to any of the conditions
given .
This is bit harder, have please a look at ry1 .
39+10+28= ... .
For hundreds' we have only 9 choices because 0 is not used, ...
For tens' and ones' of the first number we have 9 choices. 72 of them do not use 0 at all.
If 0 is used in the first number of the pair, second will have 8 choices for tens' and 7 for ones'.
If 0 is not used in the first number of the pair, second will have 7 choices for tens' and 7 for ones'.
9x8x7 + 72x7x7 = ?
4x(10-1) = ?
The greater may be 89, there is only one pair candidate (10) .
The greater may be 88, there are 2 pair candidate (11 and 10) .
...
The greater may be 50, there are 1, 2, ..., 49 .
50 olabilir. Karşılık 10, 11, ..., 49 vardır.
Sum of all is, after nx(n+1)/2, 49x25=? .
Consider all negatives .
If the greatest of the numbers having all these were to be asked, the question would really be a
hard one; now it is enough to check the answers given.
AxB^{2}xC=240 .
The squares of the first 5 numbers: 1,4,9,16 and 25 . First 3 are out of context.
25 is not a multiple of 240, in addition ...
The square number should be 11^{2}=121 . The smaller ones are 101, 103 and 105 .
Let the consecutive 3 be A-1, A vand A+1 .
(A-1)xAx(A+1)=A-1 + A + A+1 i.e. (A-1)x(A+1)=3 i.e. A^{2}-1=3 i.e. a^{2}=4 which means A=-2 or A=2 .
Remember also that the number factored out may be 0 .
A=-2, 0 and 2 .
A-1=-3 , -1 and 1 .
A+1=-1 , 0 and 3 .
. Products can not be prime and 343=350-7.
A+B=15 and 1x15 excluded .
3x(1+2+3+...+40)=60x41=2460. Have a look at ry1 for additional help .
1x2x...x999 999x1 000 000 .
If Cx100-Ax100 +Bx10-Bx10+A-C = 100x(C-A)-(C-A) = 188 ... .
If only GDO maize should be cultivated on 3 million decares .
Try to obtain the formula of the pattern. Look at ry1 if needed .
7+12:(1:3)-16:2x1=35 and 5+12:1:3-16:2x1=1.
5+12:1:3-16:2x1=1 .
We repeatedly advice to evaluate the paranthesis at first, because they are to avoid ambiguity. Sometimes
there may be some simple operations that are attractive to handle first, but keep rather the sure track. Then, after paranthesis,
keep the order "powers-multiplication and divisions-addition and subtractions". In case of equal priorities, not usual because we
normally use aranthesis, keep the read/write order (left first).
7+12:1:3-16:2x1=3 .
This is the feedback!