How many four-letter words can be formed out of the letters of the word "PINEAPPLES"?
A. 960
B. 840
C. 1230
D. 1200
Answers
Answered by
0
four letter word is 960..hope helps!
Answered by
2
Given,
Word = PINEAPPLES
To Find,
The number of four-letter words can be formed out of the letters of the given word =?
Solution,
The number of letters in PINEAPPLES = 10
But A, E, and P are repeated again. Total words without repetition = 7
The total ways of choosing 4 words from 7 = 7P4
The total ways of choosing 4 words from 7 = 7!/3!
The total ways of choosing 4 words from 7 = (7*6*5*4*3!)/3!
The total ways of choosing 4 words from 7 = 7*6*5*4
The total ways of choosing 4 words from 7 = 840
Hence, 840 four-letter words can be formed out of the letters of the word "PINEAPPLES". Option(b) is the correct answer.
Similar questions