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Q.

 How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if all letters are used but first is a vowel?


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a

240

b

250

c

260

d

230 

answer is A.

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Detailed Solution

Given word→ ‘MONDAY’
Total letters = 6
Total vowels =2
Thus, two options to choose first place while five options to choose the second place.
There are 4 options for third place and for fourth place there only three options remained.
In the same way, 2 options are there for fifth place and 1 option is left for sixth place.
Thus, the total ways,
=2×5×4×3×2×1
=240
Option 1 is correct.
 
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