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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 30 students in a class. Two monitors are to be selected. How many ways are there to select a monitor? Quantity B: 450

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 30 students in a class. Two monitors are to be selected. How many ways are there to select a monitor? Quantity B: 450 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 &lt; Quantity B</span>

Quantity A:

nCr = n !/ r ! (n – r) !

Calculation:

N = 30; r = 2

30C2 = 30!/ 2! × (30 – 2)!

= 30 × 29 × 28 !/ 2 × 1 × 28 !

= 435

∴ Total number of ways to select monitors is 435.

Quantity B: 450

∴ Quantity A < Quantity B

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