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Find the number of 2 lettered words, with or without meaning, that can be formed out of the letters of the word TIME, where the repetition of the letters

(a) is not allowed

(b) is allowed.

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12, 16

14, 13

15, 16

16, 17

answer is A.

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Detailed Solution

The word given is,
TIME
(1) For case one where repetition is not allowed,
Here total words are 4
Total number is choices

=^{4} C_{1} = 4

Now, for second position we have only 3 letters as repetition is not allowed. Thus, total choices for second position

=^{3} C_{1}

= 3

So, total possible words,

= 4 \times 3 = 12

Possible word without repetition = 12
(2) For case two where repetition is allowed,
Total number is choices = 4
Numbers of words becomes are

= 4 \times 4 = 16

Possible word with repetition= 16
Thus, the correct option is 1.

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