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 N
So let’s fix the firstposition with letter N, 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
Now, we need to findout a number of words starting with N and ending with Y
So let’s fix the firstposition with letter N and Y at the end, then remaining number of letters is 4which can be arranged in 4P4 ways. = 4! = 4 × 3× 2 × 1 = 24
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 ‘N’ is 120.
The possible number ofwords using letters of ‘SUNDAY’ starting with ‘N’ and ending with ‘Y’ is 24.