Miscellaneous Company Exam
Company
All the words in the Titian language consist of exactly nine letters formed from the letters {t, it, ian} arranged in some order where the paired letters cannot be separated. For example “titititit” and “titianitt” are words in the language but “ianitantt” and “iiatniant” are not. How many words are there in the Titian languages?
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Miscellaneous Company Exam Other Question
By using the digits 0, 1, 2, 3, 4 and 5 John arranges the number in ascending order as follow:
0, 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 30, 31, ….
(a) How many of the 10-digit numbers have exactly three 4s?
(b) What is the number of the 99999th term?
M = {1, 2, 3, 4, 5, 6, 7, 8}, A M, A Ø. If S(A) is divisible by 3 and not divisible by 5, where S(A) is the sum of all elements of A, Find the number of all possible set of A.