Question

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

Answer 1

Answer:

Number of combinations = 56

Step-by-step 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