Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now How many different selections of 5 books can be made from 12 different books if, Two particular books are never selected? Two particular books are never selected. Since two books are never selected. The total number of books is 10. ∴ The number of ways of selecting 5 books from 10 books = 10C5 = `(10!)/(5! xx (10 - 5)!)` = `(10!)/(5! xx 5!)` = `(10 xx 9 xx 8 xx 7 xx 6 xx 5!)/(5! xx 5!)` = `(10 xx 9 xx 8 xx 7 xx 6)/(5!)` = `(10 xx 9 xx 8 xx 7 xx 6)/(5 xx 4 xx 3 xx 2 xx 1)` = 2 × 9 × 2 × 7 = 252 ways Is there an error in this question or solution? How many different selections of 5 books can be made from 12 different books if, Two particular books are always selected? Total number of books = 12 Number of books to be selected = 5 Given Two books are always selected. Remaining number of books to be selected = 3 The number of ways of selecting the remaining 3 books from the remaining 10 books = 10C3 = `(10!)/(3! xx (10 - 3)!)` = `(10!)/(3! xx 7!)` = `(10 xx 9 xx 8 xx 7!)/(3! xx 7!)` = `(10 xx 9 xx 8)/(3!)` = `(10 xx 9 xx 8)/(3 xx 2 xx 1)` = 5 × 3 × 8 = 120 ways Is there an error in this question or solution? Page 2How many different selections of 5 books can be made from 12 different books if, Two particular books are never selected? Two particular books are never selected. Since two books are never selected. The total number of books is 10. ∴ The number of ways of selecting 5 books from 10 books = 10C5 = `(10!)/(5! xx (10 - 5)!)` = `(10!)/(5! xx 5!)` = `(10 xx 9 xx 8 xx 7 xx 6 xx 5!)/(5! xx 5!)` = `(10 xx 9 xx 8 xx 7 xx 6)/(5!)` = `(10 xx 9 xx 8 xx 7 xx 6)/(5 xx 4 xx 3 xx 2 xx 1)` = 2 × 9 × 2 × 7 = 252 ways Is there an error in this question or solution? |
How many different selections of 5 books can be made from 12 different books if I two particular books are always selected ii two particular books are never selected?
Pos Terkait
Copyright © 2024 ketiadaan Inc.
