IGNOU MCS 66 2026 2027 - If the letters of the word “Probability” are arrange

Question

If the letters of the word “Probability” are arranged randomly, what is the probability that all the letter ‘b’
are together in the random arrangement.

03 Aug 2026

Answer :

Word Count : 434

The problem involves the application of permutations and combinations, which are important concepts in Mathematical Foundations - II. We need to find the probability that all the letters ‘b’ in the word “Probability” are together when the letters are arranged randomly. The word “Probability” consists of 11 letters. Let us identify the number of times each letter appears in the word. The letters are P, r, o, b, a, b, i, l, i, t, y. Among these letters, the letter ‘b’ appears two times and the letter ‘i’ appears two times. The remaining letters appear only once. Therefore, the total number of arrangements of the letters of the word “Probability” can be calculated by considering the repeated

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