Permutations And Combinations Question 354
Question: A shop keeper sells three varieties of perfumes and he has a large number of bottles of the same size of each variety in this stock. There are 5 places in a row in his show case. The number of different ways of displaying the three varieties of perfumes in the show case is
Options:
A) 6
B) 50
C) 150
D) None of these
Correct Answer: CShow Answer
Answer:
Solution:
$ \therefore $ No. of way of displaying all three varieties $ =3^{5}-3{{-}^{3}}C_2(2^{5}-2)=150 $