how many 5 letter combinations can be created from the letters in the world “friendly” assume that the order of the letters does

Question

4 years ago

8

not matter

1 answer:

Artyom0805 [142] · Answer 1 · 2022-01-31T22:07:42+03:00

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.

<u>To find the number of combinations</u>

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