Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 22 Jan 2018 My Price 6.00

binomial coefficients.

Answer the following questions with a number or a simple formula involving factorials and binomial coefficients. Briefly explain your answers.

(a) How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o, u appear consecutively and the last letter in the ordering

is not a vowel?

 (b) How many ways are there to order the 26 letters of the alphabet so that there are at least two consonants immediately following each vowel?

(c) In how many different ways can 2n students be paired up?

(d) Two n-digit sequences of digits 0,1,. . . ,9 are said to be of the same type if the digits of one are a permutation of the digits of the other. For n = 8, for example,

the sequences 03088929 and 00238899 are the same type. How many types of n-digit integers are there?

 

Answers

Maurice Tutor
(5)
Status NEW Posted 22 Jan 2018 08:01 PM My Price 6.00

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