Math, asked by karishmathecutest, 6 months ago

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 ommane242
5

Answer:

B 576 IS THE RIGHT ANSWER

Step-by-step explanation:

the requisitie number of ways =(24×24)=576.

Answered by yadakeerthi8
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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