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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
323
C.
336
D.
345
Answers
Answered by
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!
Answered by
0
HEY MATE HERE IS YOUR ANSWER
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.
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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