Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The number of ways in which the letters of the word ''STRANGE'

Question

The number of ways in which the letters of the word $^{''} STR A NG E^{''}$ can be arranged so that the vowels may appear in the odd place, is

1440

1470

1370

None of these

Views: 786 students

Found 5 tutors discussing this question

Sebastian Discussed

The number of ways in which the letters of the word

^{''} STR A NG E^{''}

can be arranged so that the vowels may appear in the odd place, is

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

There are

5

consonants and

2

vowels in the word

STR A NGE

Out of

7

places for the

7

letters,

4

places are odd and

3

places are even.

2

vowels can be arranged in

4

odd places in

P (4, 2)

ways

= 12

ways and then

5

consonants can be arranged in the remaining

5

places in

P (5, 5)

ways

= 5 \times 4 \times 5 \times 3 \times 2 \times 1 = 120

ways.

Hence the required number of ways

= P (4, 2) \times P (5, 5) = 12 \times 120 = 1440

Was this solution helpful?

150

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The number of ways in which the letters of the word $^{''} STR A NG E^{''}$ can be arranged so that the vowels may appear in the odd place, is
Answer Type	Text solution:1
Upvotes	150

The number of ways in which the letters of the word ′′STRANGE′′ can be arranged so that the vowels may appear in the odd place, is

Text solutionVerified

Practice questions from similar books

The number of ways in which the letters of the word $^{''} STR A NG E^{''}$ can be arranged so that the vowels may appear in the odd place, is