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The Number Of Arrangements That Can Be Made With The Letters Of The Word Meadows So That The Vowels Occupy The Even Places ? |
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Answer» The word MEADOWS has 7 letters of which 3 are VOWELS. -V-V-V- As the vowels have to occupy even PLACES, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the CONSONANTS can be arranged among themselves in the REMAINING 4 places in 4! i.e., 24 ways. Hence the total ways are 24 * 6 = 144. The word MEADOWS has 7 letters of which 3 are vowels. -V-V-V- As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways. Hence the total ways are 24 * 6 = 144. |
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