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If 18Cr = 18Cr 2, the value of r C5 is (a) 55 (b) 50 (c) 56?
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If 18Cr = 18Cr 2, the value of r C5 is (a) 55 (b) 50 (c) 56?
Given:
18Cr = 18Cr 2

To find:
The value of r C5

Solution:
To solve the given equation and find the value of r C5, we can use the formula for combinations:

nCr = n! / r!(n-r)!

Where n is the total number of objects and r is the number of objects chosen at a time.

Step 1:
Let's simplify the given equation:
18Cr = 18Cr 2

We can cancel out the common terms on both sides of the equation:
r = r - 2

Step 2:
Simplifying further:
2 = -2

This equation has no real solution. Therefore, the given equation is not possible and the value of r C5 cannot be determined.

Answer:
The value of r C5 cannot be determined.
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If 18Cr = 18Cr 2, the value of r C5 is (a) 55 (b) 50 (c) 56?
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