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k0ka [10]
2 years ago
8

Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​

Mathematics
1 answer:
Hunter-Best [27]2 years ago
5 0

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

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