Question

How many 3 letter words can be formed from the word signature?

Answer 1

Answer:

504

all letters are unique so we can take them in 8C3 ways and arrange in 3! ways

Answer 2

Answer:

504

Find

To find 3 letter words can be formed from the word signature.

Explanation

Total letters in SIGNATURE = 9

word formed with = 3 letters .

so,

3 letters can be selected from 9 in = 9(C)3 ways = 9! / (9 - 3)! * 3! = (9 * 8 * 7)/(3 * 2) = 84 ways .

now,

These selected letters can be arranged in total words = 3! * 84 = 3 * 2 * 84 = 504 words.

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