120. You do 5*4*3*2*1=120. you multiply the number that you are given for example how many times can books 3 be arranged on a shelf you multiply 3*2*1=6 that is your answer
120
120 ways
In 1,307,674,368,000, or 15! ways.
How many different ways can we arrange 9 objects taken 3 at a time?
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30 ways.
Choose 3 then 2 then 1; 3*2*1 = 6 ways.
The answer to this one is 24. You can do this mathematically by 4*3*2*1.
There are 40320 ways.
The answer would be 7! or (7*6*5*4*3*2*1)=5040
To arrange 3 algebra books and 3 geometry books on a shelf so that no two books of the same type are next to each other, you can use the concept of permutations. There are 3! ways to arrange the algebra books and 3! ways to arrange the geometry books. This gives a total of 3! * 3! = 36 ways to arrange the books on the shelf such that no two books of the same type are next to each other.
7*6*5*4*3*2*1= 5040 different ways
8!=8*7*6*5*4*3*2*1=40320 ways
5 books can be lined up on a shelf in (5 x 4 x 3 x 2 x 1) = 120 different sequences.
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 = 40,320 ways !
You can arrange 4 in 2 ways 1x4 and 2x2.