Number of 4 letter word using the letters of word “MAHABHARAT” is 'a' , then remainder when a is divided by 100 is:
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True
the remainder will be 0
the quetiont will be60
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The remainder when the a is divided by 100 is 26
Given:
The number of 4 letter words using the letters of the word “MAHABHARAT” is 'a'
To find:
The Remainder when a is divided by 100
Solution:
From the data, the word given is MAHABHARAT
Number of letters in the word = 9
Number of letters we need to choose = 4
Number of words that can be formed ⁹C₄ = 9! / (4!× 5!) = 126
Hence, the number of words formed, a = 126
Now divide 126 by 100
On dividing 126 by 100 we get 26 as the remainder
Therefore,
The remainder when the a is divided by 100 is 26
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