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# Prove Hint: Consider (1 ? 1)n and (1 + 1)n, or use

## Problem 12E Chapter 1.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition

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Problem 12E

PROBLEM 12E

Prove

Hint: Consider (1 − 1)n and (1 + 1)n, or use Pascal’s equation and proof by induction.

Step-by-Step Solution:
Step 1 of 3

Solution 12E

Step1 of 3:

We need to prove,

nCr =0  and  =

Consider (1 − 1)n and (1 + 1)n, or use Pascal’s equation and proof by induction.

Step2 of 3:

Consider,

nCr = 0

Proof: we know that the pascal’s equation is given by

nCr

Substitute a = -1 and b = 1 in above equation we get

nCr

= nCr

0 = nCr

0 = nCr{}

0 = nCr{}

0 = nCr

Therefore, nCr =...

Step 2 of 3

Step 3 of 3

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