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Permutation and Combination question bank (Quantitative Aptitude)

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Q1.

If the best and the worst paper never appear together,then six examination papers can be arranged in how many ways?

(A)
$120$
(B)
$480$
(C)
$240$
(D)
None of these
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Q2.

How many numbers divisible by $5$ and lying between $3000$ and $4000$ can be formed from the digits $1, 2, 3, 4, 5, 6$ (repetition is not allowed)?

(A)
$^6P_2$
(B)
$^5P_2$
(C)
$^4P_2$
(D)
$^6P_3$
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