self Maths Puzzle

Consider the word "DIGITALCIRCUITS".How many arrangements are possible such that vowels and consonants occur in alphabetical order independently?(EXAMPLE:For the word "APPLE" these are some possibilities "ALEPP"ALPEP""LAPEP"").

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self Other Question
if 5+7+4=364730, 9+6+3=456990, and 8+2+9=912672 then 7+3+5=? There is a round cake. You have 3 chances to cut the cake. Divide the cake into 8 pieces in these 3 chances.