The letters of the word endeavor are arranged in all possible ways.The no. of arrangements when A and V are not together are?

The total number of arrangements of the word Endeavor is 8!/2! = 20160
The total number of arrangements of the word Endeavor where A and V are together is 2*7!/2! = 7! = 5040

Hence, the required number of 20160 - 5040 = 15120

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