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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 1.2 - Problem 12e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 1.2 - Problem 12e

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# Prove Hint: Consider (1 ? 1)n and (1 + 1)n, or use ISBN: 9780321923271 41

## Solution for problem 12E Chapter 1.2

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 = 0

Hence the proof.

Step2 of 3:

Again consider,  = 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  = nCr     = nCr{ } = nCr { } = nCr

Therefore, nCr = Hence the proof.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321923271

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