Math, asked by TANU81, 10 months ago

#Please answer this

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Answered by Anonymous
7

Answer:

Total Number of Words That Can Be Formed With the Letters of AGAIN is 256

46th Word of The Dictionary will be AGNI

Step-by-step explanation:

We Have Four Letters in Word AGAIN,

A G I N

__ (4 options present for first place) __ (4 options present  for Second place) __ (4 options present  for Third place) __ (4 options present  for Fourth place)

So We Can Arrange Them in 4*4*4*4 ways or 256 Ways!! (Repetition is Allowed)

Now for 46th Word!!

Let's fix the first place as A because dictionary starts with A

  • So the First Place is A

Now we have 3 Places left and we have 4 options

So We Can Arrange those 4 words in 4*4*4 = 64 ways

Now Let's Fix the second place also

A A _ _  => Two spaces Left => Ways to Arrange 4*4 = 16

A I _ _ => Two spaces Left => Ways to Arrange 4*4 = 16

A G _ _ => Two spaces Left => Ways to Arrange 4*4 = 16

A N _ _ => Two spaces Left => Ways to Arrange 4*4 = 16

Now if we take I , A or N as second place we will not reach upto 46th word

(in A  we reach upto 16 in I we reach upto 32 and in N we are more than 46)

  • So Second Place is G

Now Third Place

A G A _ => One spaces Left => Ways to Arrange 4

A G I _ => One spaces Left => Ways to Arrange 4

A G G _ => One spaces Left => Ways to Arrange 4

A G N _ => One spaces Left => Ways to Arrange 4

Similarly We Will Take N as Third Place Because A will reach upto 36 I will be upto 20 and G will be only upto 44

  • So Third Place is N

Now Fourth Place

A G N A => One spaces Left => Ways to Arrange 4

A G N I => One spaces Left => Ways to Arrange 4

A G N G => One spaces Left => Ways to Arrange 4

A G N N => One spaces Left => Ways to Arrange 4

Similarly We Will Take I as Fourth place because A is 45th word I is 46th Word G is 47th word and N is 48th Word

  • So Fourth Place is I

The Formed is A G N I

Answered by 948617ss
1

Answer:agni

Step-by-step explanation: because we.can form 256 patterns of words with the word again.we know that ,in dictionary it was arranged in alphabetical order.with that principal we can find that the 46th word is agni

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