how many words can be formed by using the letters of the word "oriental" so that A and E occupy odd places?
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There are 8 alphabets in all and 4 odd places to fill.
If either one of A or R is chosen first, it can be placed in odd places in 4 ways and the other can be placed in remaining 3 odd places in 3 ways.
Remaining 6 alphabets can be arranged in 6! Ways.
Total number of ways = 4 x 3 x 6! = 8640.
If either one of A or R is chosen first, it can be placed in odd places in 4 ways and the other can be placed in remaining 3 odd places in 3 ways.
Remaining 6 alphabets can be arranged in 6! Ways.
Total number of ways = 4 x 3 x 6! = 8640.
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