Question: Find the number of arrangements of the letters of the word MATH.
A ) 12 B ) 24 C ) 9 D ) 10
Steps to derive
1 The word 'MATH' has 4 letters.
2 There are 4 letters to put in the first place, 3 letters to put in the second place, 2 letters to put in the third place and 1 letter to put in the fourth place.
3 By counting principle, number of arrangements = 4 × 3 × 2 × 1 = 24.
4 The letters of the word 'MATH' can be arranged in 24 different ways.
