Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
CBSE XI
>>
Math
>>
Permutations and Combinations
There are $10$ lamps in a hall.Each one of them can be switched on independently.Find the number of ways in which the hall can be illuminated.
$\begin{array}{1 1}(A)\;10^2\\(B)\;1023\\(C)\;26{10}\\(D)\;10!\end{array} $
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q13
sec-b
medium
Share
asked
May 15, 2014
by
sreemathi.v
edited
May 9, 2016
by
meena.p
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Given :
Total number of lamps =10
Since at least one lamp is to be kept switched on
The total number of ways are
$10C_1+10C_2+....10C_{10}$
$\Rightarrow 2^{10}-1$
$\Rightarrow 1024-1$
$\Rightarrow 1023$
Hence (B) is the correct answer.
answered
May 15, 2014
by
sreemathi.v
Please
log in
or
register
to add a comment.
Related questions
There are $10$ lamps in a hall. Each of them can be switched on independently. The no. of ways in which the hall can be illuminated is?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
A sports team of 11 students is to be constituted,choosing at least 5 from class XI and 6 from XII.If there are 20 students in each of these classes,in how many ways can the team be constituted?
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q24
sec-b
medium
asked
May 15, 2014
by
sreemathi.v
1
answer
In how many ways can a football team of 11 players be selected from 16 players?How many of them will exclude 2 particular players?
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q23-b
sec-b
medium
asked
May 15, 2014
by
sreemathi.v
1
answer
In how many ways can a football team of 11 players be selected from 16 players?How many of them will include 2 particular players?
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q23-a
sec-b
medium
asked
May 15, 2014
by
sreemathi.v
1
answer
True-or-False:Eighteen guests are to be seated,half on each side of a long table.Four particular guests desire to sit on one particular side and three others on other side of the table.The number of ways in which the seating arrangements can be made is $\large\frac{11!}{5!6!}$$(9!)(9!)$
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q57
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if they must all be of the same colour
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q22-c
sec-b
medium
asked
May 15, 2014
by
sreemathi.v
1
answer
A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if two must be white and two red
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q22-b
sec-b
medium
asked
May 15, 2014
by
sreemathi.v
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...