In a library,there are n distinct books and e | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For each of the $n$ distinct books,there are $p$ copies available. For a specific book,we can choose $0, 1, 2, \dots, p$ copies. This gives $(p +

Vedclass · Accepted Answer

$(p + 1)^n - 1$

Vedclass · Answer

(B) For each of the $n$ distinct books,there are $p$ copies available. For a specific book,we can choose $0, 1, 2, \dots, p$ copies. This gives $(p + 1)$ choices for each book. Since there are $n$ such books,the total number of ways to select any number of books (including selecting zero books) is $(p + 1)^n$. To select one or more books,we must exclude the case where zero books are selected from all $n$ types. Therefore,the required number of ways is $(p + 1)^n - 1$.

In a library,there are $n$ distinct books and each has $p$ copies. What is the number of ways to select one or more books?

Similar Questions

Determine the number of $5$ card combinations out of a deck of $52$ cards if there is exactly one ace in each combination.

From $5$ consonants and $5$ vowels,how many words can be formed using $3$ consonants and $2$ vowels?

What is the number of ways in which an examiner can assign $10$ marks to $4$ questions, giving not less than $2$ marks to any question?

$A$ lady gives a dinner party for $6$ guests. The number of ways in which they may be selected from among $10$ friends,if two of the friends will not attend the party together,is:

How many distinct combinations can be formed using one or more letters from the word $MISSISSIPPI$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module