Letters of the word INDIANOIL are arranged at random. Number of ways that the word formed

	Column I		Column II
(A)	Contains the word INDIAN is	(P)	240
(B)	Contains the word OIL is	(Q)	2520
(C)	Begins with I and ends with L is	(R)	1260
(D)	Has vowels at the odd places is	(S)	24

Total number of ways of arranging letters of the word INDIANOIL is  $\frac{9!}{3!2!}$
(A) Treating INDIAN as a single object we can permute INDIAN, O, I and L in  $4!$ ways. 
(B) We can permute OIL, I, N, D, I, A, N in  $\frac{7!}{2!2!}$ ways. 
(C) Fixing an I at the first place and L at the last place, we can permute the remaining letters viz. A, D, I, I, N, N, O in  $\frac{7!}{2!2!}$ ways. 
(D) Vowels can be arranged at odd places viz $1^{st}$, $3^{rd}$, $5^{th}$, $7^{th}$ and $9^{th}$ in  $\frac{5!}{3!}$ ways.
The remaining letters can be arranged at 4 even places in  $\frac{4!}{2!}$ ways. 
Total number of ways will be  $\frac{5!}{3!}\times \frac{4!}{2!}=240$