in how mNY WAYS 3 MACHINES CAN BE ARRANGED OUT OF 8 DIFFERENT MACHINES?
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In how many different ways can the letters of theword 'MACHINE' be arranged so that the vowels may occupy only the odd positions ? Now, 3 vowels can be placed at any of the three places, out of the four marked 1, 3, 5,7. Number of waysof arranging the vowels = 4P3 = (4 *3 * 2) = 24.
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