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Q.

Number of ways of arranging A, B, C, D, E, F, G, H in line, if A, B must be next to each other and C must be somewhere behind ‘D’ is

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a

10080

b

5040

c

2520

d

3020

answer is C.

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Detailed Solution

$A B \to 2!$

AB, E, F, G, H ,C,Dcan be arrange in
7 places $=^{7} P_{5}$
$∴ A n s = {2.}^{7} P_{5}$

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Number of ways of arranging A, B, C, D, E, F, G, H in line, if A, B must be next to each other and C must be somewhere behind ‘D’ is