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

~45s

Arranging APPLE

In how many ways can the letters of APPLE be arranged?

Show the answer and the worked solution

Correct answer: B.

60

Worked solution

  1. 5 letters with P twice: 5!/2! = 120/2 = 60.

Answer: 60.

The idea

Divide by the factorial of each repeat count. Ignoring the double P gives 120, which is offered.

Shortcut. Choose 2 of the 5 places for the Ps (C(5,2) = 10), then arrange A, L and E in 3! = 6 ways: 60.

Common trap. "120" — using 5! as if all five letters were different; swapping the two Ps makes no new word, so the count halves.

Permutations & Combinations

24 of 35

Level

Easy

Target time

~45s

PreviousNext
AI InterviewGet started

Arranging APPLE — Aptitude Question

Arranging APPLE: In how many ways can the letters of APPLE be arranged? Answer and worked solution on CodeKairo.

Question

In how many ways can the letters of APPLE be arranged?

Options

  1. 24
  2. 60
  3. 120
  4. 240
Show the answer and the worked solution

Correct answer: B. 60

Worked solution

  1. 5 letters with P twice: 5!/2! = 120/2 = 60.

Answer: 60.

The idea

Divide by the factorial of each repeat count. Ignoring the double P gives 120, which is offered.

Shortcut. Choose 2 of the 5 places for the Ps (C(5,2) = 10), then arrange A, L and E in 3! = 6 ways: 60.

Common trap. "120" — using 5! as if all five letters were different; swapping the two Ps makes no new word, so the count halves.

All Permutations & Combinations questions · placement mock tests