Multiple choice

In how many different ways can the letters of the word TRUST’ be arranged so that two T’s never comes together? TRUST 'शब्द के अक्षरों को कितने अलग-अलग तरीकों से व्यवस्थित किया जा सकता है ताकि दो T कभी एक साथ न आएं?

  1. 72

  2. 96

  3. 36

  4. 48

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

TRUST has 5 letters with T repeated twice. Total arrangements = 5!/2! = 60. To find arrangements where T's are together, treat TT as one unit: 4! = 24. Subtract to get arrangements where T's are separated: 60 - 24 = 36. The complement method is simpler than direct counting.

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