Q. 165.0( 4 Votes )

How many words be

Answer :

To find: number of words starting with C and end with Y


There are 8 letters in word COURTESY.


Here the position of the letters C and Y are fixed which is 1st and 8th.



Rest 6 letters are to be arranged in 6 places which can be done in P(6,6).


Formula:


Number of permutations of n distinct objects among r different places, where repetition is not allowed, is


P(n,r) = n!/(n-r)!


Therefore, a permutation of 6 different objects in 6 places is


P(6,6) = = = = 720.


Therefore, total number of words starting with C and ending with Y is 720.


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