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how many 5 letter combinations can be created from the letters in the world “friendly” assume that the order of the letters does not matter

User Shiniqua
by
6.0k points

2 Answers

2 votes

Answer:

56

Explanation:

User Skymedium
by
6.5k points
3 votes

Answer:

Number of combinations = 56

Explanation:

Points to remember

nCₐ = n!/(r!(n - r)!)

The given word is "FRIENDLY"

F R I E N D L Y is a 8 letter word.

To find the number of combinations

5 letters can be selected from 8 letter = 8C₅

8C₅ = 8!/(8 - 5)!5!

= 8!/3!5!

= (8 * 7 * 6* 5!)/(1 * 2 * 3 * 5!)

= 8 * 7

= 56

5 letter combinations can be created from the letters in the world “friendly = 56

User Nitika Chopra
by
6.7k points
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