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djdylan2000. bits goa eee

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20 Apr 2009 22:38:02 IST

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A shop has 5 types of ice creams. In how many ways can v choose 6? please give d working...

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pramod

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20 Apr 2009 22:47:19 IST

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assume we have 5 sets of powers of x our Q requires us to find the coeff of x⁶

its basically the coefficient of x⁶ in the expansion of (1+x+x²+x³...)⁵....

=(1-x)^-5

=¹⁰C₆

cheers!!

Mirka

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21 Apr 2009 00:56:36 IST

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Yeah, he's right ...

this is basically to find the non-negative integral solutions of

x₁ + x₂ + x₃ + x₄ + x₅ = 6

which is ^n+r-1C_r

here n = 5, r = 6

so ans ~~~> ¹⁰C₆

KAPIL CVS

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Joined: 7 May 2007

Posts: 1724

21 Apr 2009 12:28:04 IST

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there are 5types of icecreams. we need to choose for 6.

so,it would be the cofficient of x⁶ in the expansion of (1+x+x²+x³...)⁵

now, y gp summation,

= .

so we get, ways =

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