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Maths-

General

Easy

Question

The number of different words of three letters which can be formed from the word "PROPOSAL", if a vowel is always in the middle are-

53
52
63
32

The correct answer is: 53

We have seen that the total number of positive integral solutions of abc = 24 is 30. We observe that any two of the factors in each factorization may be negative. Hence,
Number of integral solutions= Number of positive integral solutions+ Number of integral solutions having two negative factors.
Thus total number of solution is 120.
C : If consonant is filled.
2P, 1R, 1S, 1L, 2(O), 1A
$table row V V V end table$ $fraction numerator table row 3 end table over denominator table row 2 end table end fraction$
$table row V V C end table$ 4.1 + $4 table row 2 end table$
$table row C V V end table$ 4.1 + $4 table row 2 end table$
$table row C V C end table$ 1.2 + $6. table row 2 end table table row 2 end table$
-----------------
Total 53

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