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Q.

The number of four letter words that can be formed using the letters of the word MIXTURE which contains the letter X is 
 

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a

480

b

120

c

240

d

360

answer is C.

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Detailed Solution

Consider 4 places. The letter X can be placed in one place in 4 ways.

Remaining 3 places can be filled using M,I,T,U,R,E in  6P3 ways

Number of 4 letter words containing the letter X= 6P3×4=480

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The number of four letter words that can be formed using the letters of the word MIXTURE which contains the letter X is