Q.
There are nine different books on a shelf, four red and five are green. Number of ways in w̧hich it is possible to arrange these books if
Column I
Column II
A
the red books must be together and green books together
P
$(4) 6 !$
B
the red books must be together whereas the green books may or may not be together
Q
$(8) 6 !$
C
no two books of the same colour are adjacent
R
$(20) 6 !$
D
if the books are arranged on a round table and no two of the three specified books are together
S
$(24) 6 !$
Column I | Column II | ||
---|---|---|---|
A | the red books must be together and green books together | P | $(4) 6 !$ |
B | the red books must be together whereas the green books may or may not be together | Q | $(8) 6 !$ |
C | no two books of the same colour are adjacent | R | $(20) 6 !$ |
D | if the books are arranged on a round table and no two of the three specified books are together | S | $(24) 6 !$ |
Permutations and Combinations
Solution: