Consider set A=T(r+1)=nCr(3)n−r(5x)r;r=0,1,2,3,…,n. Match the following lists:
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a
a→r;b→s;c→q;d→p
b
a→p;b→q;c→q;d→s
c
a→p;b→s;c→q;d→r
d
a→r;b→q;c→s;d→p
answer is A.
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Detailed Solution
a. If T(r + 1) is greatest, then n1+abx≤r≤n+11+abx for (a + bx)n.For x = 1 and r = 11, n1+35≤11≤n+11+35⇒ 5n≤88≤5(n+1)⇒ n=17b. If T(r+ 1) is greatest, then rn−r+1ab