In how many ways can the letter of the word INTERMEDIATE be arranged so that the vowels always occuyp even places ?
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There are 12 letters in the given word
Out of 12 places the even places are 2nd, 4th , 6th , 8th , 10th , and 12th.There are 6 vowels in the given word in which two I , three E and one A.
no. of ways to fill 6 even places with vowels = 6!2! 3!= 60
no. of ways to fill remaining 6 places = 6!2! = 360
Total no. of arrangement of the word = 60 × 360 = 21600
Out of 12 places the even places are 2nd, 4th , 6th , 8th , 10th , and 12th.There are 6 vowels in the given word in which two I , three E and one A.
no. of ways to fill 6 even places with vowels = 6!2! 3!= 60
no. of ways to fill remaining 6 places = 6!2! = 360
Total no. of arrangement of the word = 60 × 360 = 21600
sona219:
is this is correct or not plz say
say na
i bont no
this is correct i defenetly say
okk
tanx
wlcm
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Answer:
There are 12 letters in the given word
Out of 12 places the even places are 2nd, 4th , 6th , 8th , 10th , and 12th
_ v _v _v _ v_ v_ v
.* each v symbolize one vowel. There are 6 vowels in the given word in which 2-I , 3-E and 1-A.
no. of ways to fill 6 even places with vowels = 6!/2! 3!= 60
no. of ways to fill remaining 6 places
( 1-N,M,R,D and 2-T)= 6!/2! = 360
Total no. of arrangement of the word = 60 × 360 = 21600
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