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a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels always come together? In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? b) c) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?

a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels always come together? In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? b) c) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q-4: In how many different ways can the letters of the word a) "CORPORATION" be arranged so that the vowels always come together? b) In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, c) 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?
Transcribed Image Text:Q-4: In how many different ways can the letters of the word a) "CORPORATION" be arranged so that the vowels always come together? b) In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, c) 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?
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