Question

in how many arrangements for the word "MATHEMATICS" the vowels does not change their places? ​

Answer 1

Answer:

In 4989600distinct ways, the letter of the word 'Mathematics' can be written. (i) When vowels are taken together: In the word 'Mathematics', we treat the vowels A, E, A, I as one letter. Thus, we have MTHMTCS (AEAI).

Step-by-step explanation:

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Answer 2

Answer:

In the word 'MATHEMATICS', we'll consider all the vowels AEAI together as one letter. Thus, we have MTHMTCS (AEAI). Number of ways of arranging these letters =8! / ((2!)( 2!)