Permutations good ones

1)In a certain test, there are n questions .In the test 2n-1 students gave wrong answers to atleast i questions, where i=1,2,3,....n. If the total number of wrong answers given is 2047, then find the value of n.
2)A person goes in an examination where there are four papers of m marks each. The number of ways in which he can get 2m marks is?
3)A student is to answer 10 questions out of 10 in an exam such that he must choose atleast 4 from the first five questions. The number of choices available is ?(seems obv but i cant und the answer given)
answers quickly pls...

38 Answers

1
Thedarkknight ·

lol anyway thank u integrations.....

1
Thedarkknight ·

did any body get q2?

1
Honey Arora ·

she is using 2n-1=2047

62
Lokesh Verma ·

two wrongs make a right.. and u better ask inegrations :) ;)

1
°ღ•๓яυΠ·

arey had done this q longggggggggggg back i remebr d xpression bt not d xpainnation wait will post soon

1
°ღ•๓яυΠ·

gt it ....................
no students givin xactly one wrng ansewr
2^(n-1) - 2^(n-2)

no of studnts givin wrng answer to two q's is
2^(n-2) -2^(n-3)
thus total no of ways
1(2^(n-1)-2^(n-2) +2(2^(n-2)-2^(n-3)...... + (n-1)(2-2^0)+n*1=2047
thus
2^(n-1) +2^(n-2).........+2 -n+1+n=2047

thats 2(2^(n-2) -1)/2-1 =2047

this gives n =11

62
Lokesh Verma ·

hmm.. what do i say :D

Read my comments above and the question above ;)

It should have been n-i

but king typed it as n-1

1
°ღ•๓яυΠ·

ya itz n-i

1
°ღ•๓яυΠ·

oye aapke pass koi aur color ni hai :P

62
Lokesh Verma ·

suggest some good one?

basically this word pink works well.. (i know it is a bit girlie ;)

But pinked post kind of sounds better

1
Thedarkknight ·

Sir but how come she is getting the answer?

1
°ღ•๓яυΠ·

yeh violet

1
°ღ•๓яυΠ·

np king :P

1
°ღ•๓яυΠ·

thnaks givin mission chalu ..................

62
Lokesh Verma ·

violet.. let me try.. then u give the feedback urself :)

11
Subash ·

how about blacked posts

1
°ღ•๓яυΠ·

yeah black post wid golden or silver writin

62
Lokesh Verma ·

you know what these colors "look bad"

too bad...

11
Subash ·

coming back to the questions...
is the ans to q2

4c2+4c3+4c4

106
Asish Mahapatra ·

first answer is 11

1
Thedarkknight ·

nope....

62
Lokesh Verma ·

King.. check the question

should it be 2n-i (i or 1?)

otherwise the answer will be different...

Pls let me know that...

1
Thedarkknight ·

can ya try q 3 ?

1
Thedarkknight ·

it is 1 oly sir

62
Lokesh Verma ·

for q3 the answer should be 1

there are 10 questions.. he has to answer all.. so the chice that he has is "fake" in many ways..

1
Thedarkknight ·

tats wat i thot too sir but its an aiee 2003 ques and the answer is given as 196!!
The soln is given as
The no of choices available to him are:
5c4X8c6 + 5c5X8c5=196
can u pls explain this sir?

1
°ღ•๓яυΠ·

for d first one is d answer 11?

62
Lokesh Verma ·

oh the question should have been

3)A student is to answer 10 questions out of 13 in an exam such that he must choose atleast 4 from the first five questions. The number of choices available is ?

1
°ღ•๓яυΠ·

hey dats wrng if its true then they r assumin 13 q's

1
°ღ•๓яυΠ·

second q itz 4C2

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