Question

Of 11 possible books you plan to take 4 with you on vacation how many different collections of 6 books can you take

Answer 1

The number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

Here, in the original problem, the number of book selection is6.

Of 11 possible books, one plans to take 6 with on vacation. The number of different collections of 6 books can be taken has to be found out.

• The total number of books=11.
• The total number of selection of book=6.

Thus, the number of combination to select 6 books collection from 11 is,

$^{11}C_6=\dfrac{11!}{(11-6)!6!}\\^{11}C_6=\dfrac{11\times10\times9\times8\times7\times6!}{5\times4\times3\times2\times1\times6!}\\^{11}C_6=462$

Thus, the number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

Learn more about the combination here;

https://brainly.com/question/17139330

#SPJ1