Find the sum +^(10)C1+^(10)C3+^(10)C5+^(...

Find the sum `+^(10)C_1+^(10)C_3+^(10)C_5+^(10)C_7+^(10)C_9dot`

`2^(7)`

`2^(8)`

`2^(9)`

`2^(10)`

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Find the sum of the series ^10 C_0+^(10)C_1+^(10)C_2++^(10)C_7dot

Find the sum sum_(k=0)^(10).^(20)C_k .

Find the value of (.^(10)C_(10))+(.^(10)C_(0)+.^(10)C_(1))+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2))+"...."+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2)+"....." + .^(10)C_(9)) .

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: The value of (^(10)^C_0)+(^(10)C_0+(10)C_1)+(^(10)C_0+(10)C_1+(10)C_2)++(^(10)C_0+(10)C_1+(10)C_2++(10)C_9) is 10 2^9 . Statement 2: ^n C_1+2^n C_2+3^n C_3+ n^n C_n=n2^(n-1) .

Find the value of .^(20)C_(0) xx .^(13)C_(10) - .^(20)C_(1) xx .^(12)C_(9) + .^(20)C_(2) xx .^(11)C_(8) - "……" + .^(20)C_(10) .

Find the sum 2..^(10)C_(0) + (2^(2))/(2).^(10)C_(1) + (2^(3))/(3).^(10)C_(2)+(2^(4))/(4).^(10)C_(3)+"...."+(2^(11))/(11).^(10)C_(10) .

If ^100 C_5+5^(100)C_6+10^(100)C_7+10^(100)C_8+5^(100)C_9+^(100)C_(10) has the value equal to ^n C_r , then least value of (n+r) is equal to 200 (2) 195 (3) 115 (4) 105

The value of (.^(21)C_(1) - .^(10)C_(1)) + (.^(21)C_(2) - .^(10)C_(2)) + (.^(21)C_(3) - .^(10)C_(3)) + (.^(21)C_(4) - .^(10)C_(4)) + … + (.^(21)C_(10) - .^(10)C_(10)) is

Evaluate the following : (i) 1+.^(20)C_(1)+^(20)C_(2)+^(20)C_(3)+....+^(20)C_(19)+^(20)C_(20) (ii) ^(10)C_(1)+^(10)C_(2)+^(10)C_(3)+.....+^(10)C_(9) (iii)^(25)C_(1)+^(25)C_(3)+^(25)C_(5)+.....+^(25)C_(25) (iv) ^(18)C_(2)+^(18)C_(4)+^(18)C_(4)+^(18)C_(6)+....+^(18)C_(18)

The value of "^20 C_0+^(20)C_1+^(20)C_2+^(20)C_3+^(20)C_4+^(20)C_ 12+^(20)C_ 13+^(20)C_14+^(20)C_15 is a. 2^(19)-(( "^(20)C_10 + "^(20)C_9))/2 b. 2^(19)-((^(20)C 10+2xx^(20)C9))/2 c. 2^(19)-(^(20)C 10)/2 d. none of these

VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1

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