Multiple choice

In how many ways can the letter of the word 'STORY' be arranged so that T and Y are always together.

  1. 24

  2. 30

  3. 10

  4. 48
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Treat (TY) as one block. The letters are {S, O, R, (TY)}. There are 4 items, which can be arranged in 4! = 24 ways. Since T and Y can swap positions within the block (TY or YT), multiply by 2. Total = 24 * 2 = 48.

AI explanation

Since the letters T and Y must remain together, treat them as a single combined block or unit. Along with the remaining letters S, O, and R, there are now 4 units to arrange, which can be done in 4! equals 24 ways. The letters T and Y can also trade places within their block in 2! equals 2 ways, so the total number of arrangements is 24 times 2 equals 48.

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