Let S1=j=1∑10j(j−1)10Cj,S2=j=1∑10j10Ci(andS)3=j=1∑10j210Cj˙Statement-1: S3=55×29Statement-2: S1=90×28andS2=10×28.

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Let {S}_{{1}}={_{{{j}={1}}}^{{{10}}}}{j}{({j}-{1})}^{{{10}}}{C

Question

Let $S_{1} = j = 1 \sum 10 j (j - 1)^{10} C_{j}, S_{2} = j = 1 \sum 10 j^{10} C_{i} (andS)_{3} = j = 1 \sum 10 j^{2}^{10} C_{j} ˙$ Statement-1: $S_{3} = 55 \times 2^{9}$ Statement-2: $S_{1} = 90 \times 2^{8} a n d S_{2} = 10 \times 2^{8}$ .

Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1

Statement-1 is true, Statement-2 is false

Statement-1 is false, Statement-2 is true

Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

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James Discussed

Let

S_{1} = j = 1 \sum 10 j (j - 1)^{10} C_{j}, S_{2} = j = 1 \sum 10 j^{10} C_{i} (andS)_{3} = j = 1 \sum 10 j^{2}^{10} C_{j} ˙

Statement-1:

S_{3} = 55 \times 2^{9}

Statement-2:

S_{1} = 90 \times 2^{8} a n d S_{2} = 10 \times 2^{8}

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Question Text

Let

S_{1} = j = 1 \sum 10 j (j - 1)^{10} C_{j}, S_{2} = j = 1 \sum 10 j^{10} C_{i} (andS)_{3} = j = 1 \sum 10 j^{2}^{10} C_{j} ˙

Statement-1:

S_{3} = 55 \times 2^{9}

Statement-2:

S_{1} = 90 \times 2^{8} a n d S_{2} = 10 \times 2^{8}