Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 50

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The remainder when $2^{2003}$ is divided by $17$ is

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Important Questions on Binomial Theorem

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 51

The last two digits of the number

3^{400}

are

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 52

The last three digits in

10!

are:

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 53

The value of

\sum_{r = 1}^{10} r \cdot \frac{{}^{n}C_{r}}{{}^{n}C_{r - 1}}

is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 54

\sum_{r = 0}^{n - 1} \frac{{}^{n}C_{r}}{{}^{n}C_{r} + {}^{n}C_{r + 1}} =

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 55

Find numerically greatest term in the expansion of

{(2 + 3 x)}^{9}

when

x = 3 / 2 .

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 56

\frac{^{11} C_{0}}{1} + \frac{^{11} C_{1}}{2} + \frac{^{11} C_{2}}{3} + \dots \dots + \frac{^{11} C_{10}}{11} =

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 57

The value of

\frac{C_{0}}{1.3} - \frac{C_{1}}{2.3} + \frac{C_{2}}{3.3} - \frac{C_{3}}{4.3} + \dots \dots \dots . + {(- 1)}^{n} \frac{C_{n}}{(n + 1) \cdot 3}

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 7 - Binomial Theorem>Exercise-1>Q 58

The value of the expression

{}^{47}C_{4} + \sum_{j = 1}^{5} {}^{52 - j}C_{3}

is equal to: