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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,