AI InterviewSearch…Search problems, topics, or pages…Ctrl KGet started
Hardarrangements

~75s

Arranging SUCCESS

How many distinct arrangements are there of the letters of SUCCESS?

Show the answer and the worked solution

Correct answer: B.

420

Worked solution

  1. 7 letters with S repeated 3 times and C repeated twice.
  2. Arrangements = 7!/(3! 2!) = 5,040/12 = 420.

Answer: 420.

The idea

Count each repeated letter carefully — S appears three times, which is easy to miscount as two.

Shortcut. Place the letters by group: C(7,3) = 35 spots for the Ss, C(4,2) = 6 for the Cs, 2 ways for U and E — 35 × 6 × 2 = 420.

Common trap. "840" — dividing 7! = 5,040 by 3! for the Ss only and forgetting the repeated C.

Permutations & Combinations

25 of 35

Level

Hard

Target time

~75s

PreviousNext
AI InterviewGet started

Arranging SUCCESS — Aptitude Question

Arranging SUCCESS: How many distinct arrangements are there of the letters of SUCCESS? Answer and worked solution on CodeKairo.

Question

How many distinct arrangements are there of the letters of SUCCESS?

Options

  1. 360
  2. 420
  3. 630
  4. 840
Show the answer and the worked solution

Correct answer: B. 420

Worked solution

  1. 7 letters with S repeated 3 times and C repeated twice.
  2. Arrangements = 7!/(3! 2!) = 5,040/12 = 420.

Answer: 420.

The idea

Count each repeated letter carefully — S appears three times, which is easy to miscount as two.

Shortcut. Place the letters by group: C(7,3) = 35 spots for the Ss, C(4,2) = 6 for the Cs, 2 ways for U and E — 35 × 6 × 2 = 420.

Common trap. "840" — dividing 7! = 5,040 by 3! for the Ss only and forgetting the repeated C.

All Permutations & Combinations questions · placement mock tests