Question -
Answer -
Given:
The word ‘SUNDAY’
Total number ofletters in the word ‘SUNDAY’ is 6.
So, number ofarrangements of 6 things, taken all at a time is 6P6
= 6! = 6 × 5 × 4 × 3 ×2 × 1 = 720
Now, we shall find thenumber of words starting with D
So let’s fix the firstposition with letter D, then remaining number of letters is 5.
The number ofarrangements of 5 things, taken all at a time is 5P5 =5! = 5 × 4 × 3 × 2 × 1 = 120
Hence, the totalnumber of words can be made by letters of the word ‘SUNDAY’ is 720.
The possible number ofwords using letters of ‘SUNDAY’ starting with ‘D’ is 120.