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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: There are 20 students. Two monitors are to be selected from 20 students. One student is permanent monitor of the class. Then, how many ways are there to select a monitor? Quantity B: 19

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: There are 20 students. Two monitors are to be selected from 20 students. One student is permanent monitor of the class. Then, how many ways are there to select a monitor? Quantity B: 19 Correct Answer <span style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity A = Quantity B or No relation</span>

Quantity A:

1 student is permanent monitor if the class. Therefore to select a second monitor, 19 students are left. We just need to select 1 monitor out of 19 students.

∴ n = 19 and r = 1

19C1 =

=

= ( 19 × 18 !)/ ( 1)(18 !)

= 19

∴ total number of ways to select a second monitor is 19.

Quantity B: 19

∴ Quantity A = Quantity B

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