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State whether the statements in True or False.

To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is ^5C_3 \times^{ 22}C_9.

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True. We can select 3 scheduled caste candidates out of 5 in ^5C_3ways. 

 And we can select 9 other candidates out of 22 in ^{22}C_9ways.

 Total number of selections =^5C_3* ^{22}C_9

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