Find the number of ways in which the
letters of the word " MACHINE" can
be arranged such that vowels may
occupy only odd positions.
Select one:
a. 120
b. 144
c. 576
d. 570
Answers
Answered by
5
Answer:
B 576 IS THE RIGHT ANSWER
Step-by-step explanation:
the requisitie number of ways =(24×24)=576.
Answered by
0
There are 7 letters in the given word, out of which there are 3 vowels and 4 consonants.
Let us mark out the position to be filled up as follows:
(
1
)(
2
)(
3
)(
4
)(
5
)(
6
)(
7
)
Now, the 3 vowels can be placed at any of the three places out of the four, marked 1,3,5,7.
So, the number of ways of arranging the vowels =
4
P
3
=4×3×2=24.
Also, the 4 consonants at the remaining 4 positions may be arranged in
4
P
4
=4!=24 ways.
∴ the requisitie number of ways =(24×24)=576.
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