MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Permutation under Restriction

Total number ...

Question

Total number of ways in which $6 ‘ +^{'}$ & $4 ‘ -^{'}$ signs can be arranged in a line such that no $2 ‘ -^{'}$ signs occur together is

A

28

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

35

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

45

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

54

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $35$
Two minus signs should never be together if we arrange all '+' signs first,
now, we have 8 places where we can place minus sign(in between the '+' signs),
$=^{7} C_{4}$ ways
$= 35$ ways

Suggest Corrections

thumbs-up

0

Similar questions

Q. The total number of ways in which six

^{'} +^{'}

^{'} -^{'}

signs can be arranged in a line such that no two

^{'} -^{'}

signs occur together is ______.

Q. Find the total number of ways in which six

^{'} +^{'}

and four $^{'} -^{'}$ signs can be arranged in a line such that no two

^{'} -^{'}

signs occur together.

Q. The number of ways in which 6 '+' and 4 '-' signs can be arranged in a line such that no two '-'signs come together is

Q. The total number of ways in which six '+' and four '–' signs can be arranged in aline such that no two '–' signs occur together is ___________.

Q. The number of ways in which six + signs and four – signs can be arranged in a row so that no two – sings occur together is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Permutations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Permutation under Restriction

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon