Question
Mathematics Question on Straight lines
What is the number of different messages that can be represented by three a’s and two b’s?
A
(A) 7
B
(B) 8
C
(C) 9
D
(D) 10
Answer
(D) 10
Explanation
Solution
Explanation:
We know that:Suppose a set of n objects has n1 of one kind of object, n2 of a second kind, n3 of a third kind, and, So, on with n=n1+n2+n3+…+nk then the number of distinguishable permutations of the n objects is: =n!n1!×n2!×n3!…….nk!Given: Three a’s and two b’saaabbTotal number =3+2=5In the set of 5 words has 3 words of one kind and 2 words of the second kind.Therefore, number of different messages that can be represented by three a's and two b's, =5!3!2!=10Hence, the correct option is (D).