Question

Determine the number of arrangements of letter of the word ALGORITHM if a) vowels are always together b) is the frist and T is the last letter
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Answer 1

Answer:

A) 30240

Explanation :

There are 9 letters out of which 3 are vowels. Let us consider these 3 vowels as a separate unit and the other letters as separate units. In total there are 7 units.

These 7 units can be arranged in 7! ways, i.e., 5040 ways. Now the separate unit containing 3 vowels can be arranged in 3! ways, i.e., 6 ways. So on multiplying 5040 and 6, we get 30240 ways in which the letters of the word 'ALGORITHM' can be arranged with the vowels together.

I cannot understand the second part of the question. Please mark this answer as the brainliest.