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The number of different seven-digit numb...

The number of different seven-digit numbers that can be written using only the three digits 1, 2, and 3 with the condition that the digit 2 occurs twice in each number is a. `^2P_52^5` b. `^7C_22^5` c. `^7C_25^2` d. none of these

A

`""^(7)P_(2)*2^(5)`

B

`""^(7)C_(2)*2^(5)`

C

`""^(7)C_(2)*5^(2)`

D

`""^(7)P_(2)*5^(2)`

Text Solution

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The correct Answer is:
B
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