Q. 105.0( 2 Votes )

# How many words can be formed by the letters of the word ‘SUNDAY’?

Answer :

Given: We have 6 letters

To Find: Number of words formed with Letter of the word ‘SUNDAY.’

‘SUNDAY’ consist of 6 letters.

NOTE: - Unless specified, assume that repetition is not allowed.

Let us represent the arrangement with an example

__6 ways__ __5 ways__ __4 ways__ __3 ways__ __2 ways__ __1 way__

We have 6 places

First place can be filled with 6 letters, i.e. S,U,N,D,A,Y = 6 ways

Second place can be filled with 5 letters (as one letter is already used in the first place) = 5 ways

Similarly,

Third place can be filled with 4 letters = 4 ways

The fourth place can be filled with 3 letters = 3 ways

The fifth place can be filled with 2 letters = 2 ways

The sixth place can be filled with 1 letters = 1 ways

Total number of letters = 6 × 5 × 4 × 3 × 2 × 1 = 720

720 words can be formed by the letters of the word ‘SUNDAY.’

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