How many different selections of 6 books can be made from 11 different books, if (i) two particular books are always selected. (ii) two particular boo

Question

How many different selections of 6 books can be made from 11 different books, if (i) two particular books are always selected. (ii) two particular boo

How many different selections of 6 books can be made from 11 different books, if
(i) two particular books are always selected.
(ii) two particular books are never selected?

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

(i) Since, two particular books are always selected. It means that 6y-2=4 books are selected out of the remaining 11-2=9 books.
`therefore`Required number of ways`=.^(9)C_(4)=(9*8*7*6)/(1*2*3*4)=126`.
(ii) Since, two particular books are never selected, it means that 6 books are selected out of the remaining 11-2=9 books.
`therefore` Required number of ways=`.^(9)C_(6)`
`=.^(9)C_(3)=(9*8*7)/(1*2*3)=84`.