That depends how many are taken for each permutation.
If you take 1 number at a time, then there are 20 permutations.
2 at a time . . . . . (20 x 19) = 380
3 at a time . . . . . (20 x 19 x 18) = 6,840
4 at a time . . . . . (20 x 19 x 18 x 17) = 116,280
5 at a time . . . . . (20 x 19 x 18 x 17 x 16) = 1,860,480
etc.
(1 + 20) x (20/2) ie 210
20 objects, be they books, numbers or elephants, can be arranged in 20! different ways. 20! represents 20 factorial, ie 20 x 19 x 18 .... x 3 x 2 x 1 and is a very substantial figure of 19 digits. In scientific notation it is 2.43290200817664 x 1018
((1 + 40) x 20)/40 ie 20.5
The first letter of the perm can be any of the 4, the second any of the remaining 3, the third either of the remaining 2. There are thus 4 x 3 x 2 ie 24 permutations.
10 to the third assuming zero is included and can lead, otherwise 9 to the third, ie 729. This all assumes that you are talking about 3-digit numbers. * * * * * No. That may be the number of permutations but those are different from combinations. In a combiation, the order of the digits does not matter so that 123 is the same as 132 or 213 etc. With repetition, there are 210 COMBINATIONS, including one that is {0,0,0}.
GM of two numbers is the square root of their product, in this case sqrt 400 ie 20 (Common Ratio 1¼)
20 x 3.15 ie 63
In order, the numbers are 18, 21, 24 and 37. Since there are an even number (4) of them, the median is the average of the middle two. ie median = (21+24)/2 = 22.5
Total permutations 10! ie factorial 10 = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 = 3628800. The 2 "c"s are interchangeable which halves this figure to 1814400, similarly the "a"s and "l"s are interchangeable which reduces by half twice more, ie to 907200 and then to 453600.
Put the numbers in order: 9, 14, 16, 18, 20, 24, 26, 27, 28 There are n numbers so the median (the middle one) is the one in position (9+1)/2 ie the 5th. Thus, median = 20.
7 letters so factorial 7, ie 7 x 6 x 5 x 4 x 3 x 2 = 5040
16 x 15 / 2 ie 120