## In how many ways can the letters in the word MATHEMATICS be reshuffled so that all consonants appear together?

Question

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## Answers ( )

Answer:75600Step-by-step explanation:We are given that a word MATHEMATICS

Total letters =11

M repeated 2 times

T repeated 2 times

A repeated 2 times

Total vowels=4

Let MTHMTCS=P

Total number of ways in which MTHMTCS can be arranged=

PAEAI

Total number of ways in which PAEAI can arranged=

Total number of arrangements when all consonant appear together=

Total number of arrangements when all consonant appear together=

By using formula ;