From eight different books, in how many ways can any four of them be arranged side by side on a bookshelf? 24 70 1,680

1 answer
Question:

From eight different books, in how many ways can any four of them be arranged side by side on a bookshelf?
24
70
1,680

Answers

First we calculate how many ways you can choose four books from a set of eight.We use the formula n! / [r! * (n-r)!]8! / [4! * 4!]= 8*7*6*5 / 4*3*2*1 = 70 waysThen we have to calculate how many permutations can be made from 4 objects which equals 4*3*2*1 = 24So, the TOTAL number of ways = 70 * 24 = 1,680

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