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Permutation under Restriction

Total number ...

Question

Total number of ways in which $6 ‘ +^{'}$ & $4 ‘ -^{'}$ signs can be arranged in a line such that no $2 ‘ -^{'}$ signs occur together is

A

28

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B

35

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C

45

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D

54

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Solution

The correct option is A $35$
Two minus signs should never be together if we arrange all '+' signs first,
now, we have 8 places where we can place minus sign(in between the '+' signs),
$=^{7} C_{4}$ ways
$= 35$ ways

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