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[" 15."C(47,4)+C(51,3)+C(50,3)+],[C(49,3...

[" 15."C(47,4)+C(51,3)+C(50,3)+],[C(49,3)+C(48,3)+C(47,3)],[" किसके बराबर है ? "],[" (a) "C(47,4)" "47" ,"quad " क "],[" (b) "C(52,5)" ,"^(" 5")" ( "],[" (c) "C(52,4)],[" (d) "C(47,5)]

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The value of C(47,4)+C(51,3)+C(50,3)+C(49,3)+C(48,3)+C(47,3) is equal to

C(47,4)+sum_(r=1)^5 C(52-r,3)=

((51),(3))+((50),(3))+((49),(3))+((48),(3))+((47),(3))+((47),(4))=

47C_(4)+51C_(3)+50C_(3)+43C_(3)+48C_(3)+47C_(3)=52C_(4)

Prove that: .^(47)C_(4) + .^(51)C_(3) +^(50)C_(3)+^(49) C_(3) +^(48)C_(3) +^(47)C_(3) =^(52)C_(4)

(i) ""^(50)C_(47)= ………. (ii) ""^(15)C_(14)= ………….

47C_(4)+sum(50-j)C_(3)+sum(56-k)C_(53-k)

{:((51),(3))+:}{:((50),(3)):}+{:((49),(3)):}+{:((48),(3)):}+{:((47),(3)):}+{:((47),(3)):}=