See it? Whoa, dude! That’s 5! So, there are
120 ways
to arrange five books on a bookshelf.
How many ways can 5 books be arranged on a shelf if they can be selected from 11 books?
That’s 5! So, there are
120 ways
to arrange five books on a bookshelf.
How many ways can 5 things be arranged?
So we say that there are 5 factorial = 5! = 5x4x3x2x1 =
120 ways
to arrange five objects.
How many ways are there to order 6 books on a shelf?
Therefore, we have
720 ways
of arranging 6 books on the shelf.
How many ways can you arrange books on a shelf?
So, there are
120 ways
to arrange five books on a bookshelf.
How many ways can 3 things be arranged?
Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 =
6 ways
.
How many ways can 4 things be arranged?
So, the permutations have 6 times as many possibilites. (Another example: 4 things can be placed in 4! = 4 × 3 × 2 × 1 =
24 different ways
, try it for yourself!)
How many ways can 8 books be arranged on a shelf?
(6,7,8)=
6 ways
. To do this one, I’m going to address the numbers of ways we can arrange the books without any 2 of the prohibited 3 touching.
How many different ways can you arrange 10 books on a shelf?
arranged in
9
P
2
ways. ∴ hence the total number of arrangements =
8! x
9
P
2
ways
.
How many ways can 5 books be arranged on a shelf if 2 of the books must remain together?
That’s 5! So, there are
120 ways
to arrange five books on a bookshelf.
How many ways can 12 books be arranged on a shelf?
Solution: There are 3 choices for each of 12 books. The answer is
312
.
How many different ways can you arrange 4 books on a shelf?
There are
24 ways
to arrange the 4 items on a bookshelf.
How many different ways can you arrange 15 books on a shelf?
So in total there are 14 ‡ 15! =
18307441152000 ways
to arrange the books.
How many ways can a 7 letter word be arranged?
According to the probability, 7 letter word can be arranged in
5040 ways
, which is 7!.
How many ways can a 6 letter word be arranged?
So the six letters can be a combination of 6×5×4×3×2×1 letters or
720 arrangements
.
What will be the 50th word?
The 49th word would be NAAGI and hence the 50th word is
NAAIG
.
