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What is the total number of arrangements of the letters of the word RAVI?

Answer and explanation

Correct answer: 24

This is a permutation of distinct letters because R, A, V and I are four different letters. In a complete arrangement, the first position has 4 choices, the second has 3 remaining choices, the third has 2, and the last has 1. Thus the total is 4 × 3 × 2 × 1 = 4! = 24. Hence option B is correct. The value 16 does not represent the successive-choice product, 12 omits one factor or uses an unsuitable partial arrangement, and 4 merely counts the letters rather than arranging them. Since no letter is repeated, no division for repetition is required.

Related tags

PermutationsDistinct LettersFactorialClass 11Permutations And CombinationsMathematicsClass 11 Mcq

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