perplexus.info :: Just Math : Binomial Baffle

Binomial Baffle (Posted on 2014-12-30)

If we expand (1 + 0.2)²⁰¹⁴ by the binomial theorem, we get:
A(0) + A(1) + A(2) + .......+ A(2014) where:
A(j) = C(2014, j) *(0.2)^j and:
C(x, y) = x!/(y!*(x-y)!)

Find the value of j for which A(j) is maximum.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The required value of j is 335.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Paper and pencil solution (spoiler)	Steve Herman	2014-12-30 18:40:07
computer solution	Charlie	2014-12-30 14:35:48

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