Answer :
The probability that each student gets at least two books is 1001 ways.
What is probability?
It is a branch of mathematics. The possibility of the outcome of any random event is termed probability. The range of the probability is always between 0 to 1.
The probability that each student gets at least two books is 1001 ways.
Since each one must get at least 2 books
So, Initially, we have to distribute books to the 5 students such that each of them gets 2 books.
Overall 10 books have been distributed.
Now, you are left with 10 books. So, now we have to distribute the remaining 10 books among 5 students such that each of them now may or may not get a book.
So, the number of possible ways are:
(n+r-1) C ( r-1)
n=10
r=5
=(10+5–1)C(5–1)
=14c4
=(14×13×12×11)/(4×3×2×1)
=1001 ways
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