Math, asked by jsd0105, 1 year ago

Will Award 80 points to brainliest!

Using the letters in the word ADDITION, find the number of permutations that can be formed using 3 letters at a time.


rikhilg: 84 is the answer
jsd0105: I dont think so fam
jsd0105: choices are A.300B.
323

C.
336

D.
345
jsd0105: A:300 B:323 C:336 or D:345

Answers

Answered by rikhilg
1

Answer:

84

Step-by-step explanation:

Hi Buddy! Nice to see this question and help you!!

Here's the answer:

Well, first treat each D and I to be different.

The the permutations will be ⁸P₃ right?

But there are 2 D and 2 I. Use the formula: P/ n! m!

Where n and m are the number of times repeated letters are appearing, and P is the permutations ignoring the repititions.

I appears 2 times. D appears 2 times. Hence n=2 and m=2

So your answer is : ⁸P₃/2*2

=8!/3!*2*2

=8x7x6/2x2

=8x7x6/4

=2x7x6

=14x6

=84.

There you go!!

Hope it helps, and pls mark brianliest. Thanks Buddy! Bye!


rikhilg: dude how? no way! I'm sure of my asnwer
rikhilg: go ahead and check the net
jsd0105: Been through there and tried it on my own, i think the question is messed up lol
jsd0105: gonna guess and pray
rikhilg: ya... Best of luck buddy!!!
jsd0105: If anyone else has this problem, i guessed and got it right, it was C: 336
rikhilg: can't be 336 man!!! has to be 84
rikhilg: notice that 84 x 4 = 336.
rikhilg: The question is wrong! lol!
rikhilg: Whoever made the question forgot that there are repititions of letters. lol!!
Answered by ans81
0
HEY MATE HERE IS YOUR ANSWER


 <b>

The number of permutations if all letters were distinct = 6P36P3.

As 'S' and 'E' are repeating, the arrangement in which 'S' are interchanged are the same, so we divide by 2!2! for 'S' and likewise for 'E'.

Number of permutations =6P32!.2!=30=6P32!.2!=30

Which isn't the correct answer. I would like to get some help here.

The number of permutations if all letters were distinct = 6P36P3.

As 'S' and 'E' are repeating, the arrangement in which 'S' are interchanged are the same, so we divide by 2!2! for 'S' and likewise for 'E'.

Number of permutations =6P32!.2!=30=6P32!.2!=30

Which isn't the correct answer. I would like to get some help here.

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