Algebra> permutations...

Number of words of 4 letters that can be formed with the letter of the word IITJEE is...............

sridhar yelkur , 12 Years ago

Grade 12

14 Answers

Maruthi Sirisilla

the answer is 468

Last Activity: 12 Years ago

Anshuman Chandel

102

Approved

Last Activity: 12 Years ago

shetti swamy patel

answer is 256

Last Activity: 12 Years ago

shubham sharma

Ans. Is 14!!!

» four distinct letters= (4C4)

»Of form (aabb)= (2C1).(4C2)

»Of form aabc= (2C2)

So 0n adding it comes 14.

Last Activity: 12 Years ago

revathy t.nair

is that 6*6*6*6=1296? is that the answer?

Last Activity: 12 Years ago

Sandeep Trivedi

Last Activity: 12 Years ago

jitender lakhanpal

there will be following cases

1) words form by letters I,T,J,E

we will use permutation

4! =24

2) words form by only I,I,E,E

there would be following arrangement

IIEE another word by flipping the letters I,E

IEEI another word by flipping the letters

EIEI another word by flipping the letters

it makes total of 6

3) words formed by 2 I''S T,J,E

first select 2 places out of four so we use combination

3C2 and then arrange 3 letters in 2 places

so finally we get

4C2*6 = 36

4) words formed by 2 E''S AND T,J,E

so again 36

so add all cases you will get the answer

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Jitender

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Last Activity: 12 Years ago

Krrish .

184

Last Activity: 11 Years ago

ashwin26

IITJEE Can be written as " II ", "T" , "J" , "EE" here there are two sets of repeated combinations(I,J) .now the four letter words can be categorised into (i)two similar,another two similar 2C1*(4!/(2!*2!)) ways. (ii)two similar , 1 different , another different 2C1*(3C2)*(4!/2!) ways (iii)All different 4! ways so the total number of 4 letter words= 12+72+24=108

Last Activity: 11 Years ago

GOPI

Last Activity: 11 Years ago

KARTHIK

there will be following cases 1) words form by letters I,T,J,E we will use permutation 4! =24 2) words form by only I,I,E,E there would be following arrangement IIEE another word by flipping the letters I,E IEEI another word by flipping the letters EIEI another word by flipping the letters it makes total of 6 3) words formed by 2 I``S T,J,E first select 2 places out of four so we use combination 3C2 and then arrange 3 letters in 2 places so finally we get 4C2*6 = 36 4) words formed by 2 E``S AND T,J,E so again 36 so add all cases you will get the answer

Last Activity: 11 Years ago

venkatesh vadde

Last Activity: 11 Years ago

venkatesh vadde

no restriction means digits can be repeated if first place is filled by I then possible arrangements are 5!/2! if first place is filled by T then possible arrangements are 5!/(2!*2!) if first place is filled by J then possible arrangements are 5!/(2!*2!) if first place is filled by E then possible arrangements are 5!/2! total no of arrangements are 60+30+30+60=180

Last Activity: 11 Years ago