the number of ways in which the letter of word ARGUMENT can be arranged so that only consonants occur at both ends is:
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The number of ways in which the letter of word ARGUMENT can be arranged so that only consonants occur at both ends is:
Explanation:
the number of consonants and vowels of the given word are
Vowels – A, U, E = 3
Consonants – R, G, M, N, T = 5
On solving C(5,2) we get solution as 10
This provide us the total number of arrangements
10×2=20
Now we have to select 2 consonants out of 5 –
C(5,2) So we will write the formula of combination and substitute values to solve
⇒6!=6×5×4×3×2×1=720
With this the total number of ways in which the words can be arranged is
10×2×720=14400
Answer = 14400
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