Question

in how many ways the letters of the word 'mathematics' be arranged in which consonants are together​

Answer 1

Answer:

10080

Step-by-step explanation:

Number of ways of arranging these letters =8! / ((2!)( 2!)) = 10080

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Answer 2

Step-by-step explanation:

In the given word mathematics, there are 4 vowels and 7 consonants.

vowels : a, a, e, i

consonants : m, m, t, t, h, c, s

Let's solve the problem in three steps-

arrange all the vowels together and let's call the output a WORD (this is just for reference, it has nothing to do with math/english).

arrange all the consonants together.

Place the WORD at any place in the arrangement of consonants.

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