Question

The letters of the word ENDEAVOR are arranged in all possible ways. The number of arrangements when A and V are
not together are
(a) 40320
(b) 15120
(c) 10080
(d) 5040​

Answer 1

Answer:

15120

Step-by-step explanation:

All possible arrangements are 8!/2! (E repeated twice) i.e 20160

Arrangements where A and V together- 7!*2!/2! (E repeatedly twice) i.e = 5040

hence, arrangements where A and V are not together are;

20160-5040= 15120