Get 2 FREE Instant-Explanations on Filo with code FILOAPP

In a conference 10 speakers are present . if {S_1} wants to sp

Question

In a conference 10 speakers are present . if $S_{1}$ wants to speak before $S_{2}$ & $S_{2}$ wants to speak after $S_{3}$ then the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number is

^{10} C_{3}

^{10} P_{8}

^{10} P_{3}

\frac{10 !}{3 ^{10}}

Views: 677 students

Found 6 tutors discussing this question

Olivia Discussed

In a conference 10 speakers are present . if

S_{1}

wants to speak before

S_{2}

S_{2}

wants to speak after

S_{3}

then the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number is

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

This is a question on permutation and combination.

There are

7

speakers where the restrictions do not apply.

For the first three speakers we have

= S_{1}, S_{3}, S_{2}

S_{3}

can also speak before

S_{1}

There are two possibilities for

S_{1}

and

S_{3}

to take place and there is no third possibility.

For

S_{2}

it has to remain in the same position.

We have,

\frac{10 !}{( 10 - 7 )!} = \frac{10 !}{3 !} =^{10} P_{3}

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	In a conference 10 speakers are present . if $S_{1}$ wants to speak before $S_{2}$ & $S_{2}$ wants to speak after $S_{3}$ then the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number is
Answer Type	Text solution:1
Upvotes	150

In a conference 10 speakers are present . if S1​ wants to speak before S2​ & S2​ wants to speak after S3​ then the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number is

Text solutionVerified

Practice questions from similar books

In a conference 10 speakers are present . if $S_{1}$ wants to speak before $S_{2}$ & $S_{2}$ wants to speak after $S_{3}$ then the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number is