ram visited ramesh house and find a small library which had 16 14 and 12 books non fiction science respectively ram wants to take two books from each section in how many way can he select the book?
Answers
Answer:
16! /10!
15! /10!
2(15!/10!)
3,60,360
Therefore the number of ways in which ram can select 2 books from each section is 7,20,720 ways.
Given:
The number of maths books = 16
The number of fiction books = 14
The number of science books = 12
Total number of books = 16 + 14 + 12 = 42
To Find:
The number of ways in which ram can select 2 books from each section.
Solution:
The given question can be solved as shown below.
The number of ways of selecting 2 books in the math section = ¹⁶C₂ = ( 16 × 15 )/2 = 8 × 15 = 120 ways
The number of ways of selecting 2 books in the fiction section = ¹⁴C₂ = ( 14 × 13 )/2 = 7 × 13 = 91 ways
The number of ways of selecting 2 books in the science section = ¹²C₂ = ( 12 × 11 )/2 = 6 × 11 = 66 ways
The total number of ways in which ram can select 2 books from each section = 120 × 91 × 66 = 7,20,720 ways.
Therefore the number of ways in which ram can select 2 books from each section is 7,20,720 ways.
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