60 is 2^2*3*5 and it has 3*2*2=12 factors.
1, 2, 3, 4, 5 and 6 are all less than seven...
6/12=1/2 is the probability that a randomly drawn positive integer factor of 60 is less than 7.
Thank you! I somehow forgot to add 18 to both the numbers, 12 and 27.
@geno3141, "x and y such that x not equal to y" in the problem.
1/x + 1/y = 1/18
\(\frac{x+y}{xy}=\frac{1}{18}\).
\(18x+18y=xy\)
\(xy-18x-18y=0\)
Note that the expression is very close to \((x-18)(y-18)\) is if I add 324 to both sides.
\((x-18)(y-18)=324\).
324=2^2*3^4
12+18=30
27+18=45
30 and 45 give the largest result, thus x+y=30+45=75.
(1): Fix both of them first..the others can sit in 8!=40320 ways is the answer.
I may be wrong, yet:
17-9=8 albums
8+6=14 albums.
A, E, I, O, U, Y-six vowels and twenty consonants.
20*6*20*10=24000
I'm sorry, the first term is 147...
147-3y=39
108/3=36
1+36=37 counting numbers numbers
87 points
Try to find the total number of points and the average.
See answer below, should be 37 numbers...
