RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 16

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How may numbers between $5000$ and $10000$ can be formed using the digit $1, 2, 3, 4, 5, 6, 7, 8, 9$ each digit appearing not more than once in each number?

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Important Questions on Binomial Theorem

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 17

In the polynomial

(x - 1) (x - 2) . . . . . . . . (x - 100)

, the coefficient of

x^{99}

is

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 18

How many diagonals can be drawn in a polygon of n sides?

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 19

If

(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + \dots \dots . . C_{n} x^{n}

in the usual notation, then

C_{0}^{2} + C_{1}^{2} + C_{2}^{2} + \dots \dots . .

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 20

Two events A and B occur with probabilities

0.25

and

0.50

. The probability that they occur simultaneously is

0.14

. What is the probability that neither of them occurs?

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 21

The probability that an event A happens in a trial is

0.4

. Three independent trails are made the probability that A happens at least once is?

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 22

The letters of the word TREASON are arranged in a row in all possible ways. How many of them begin with T and end with N?

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 23

If xn occurs in the expansion of

{(x + \frac{1}{x})}^{n}

then it’s coefficient must be

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 6 - Binomial Theorem>Exercise 1>Q 24

Six boys and six girls are seated in a row randomly. What is the probability that the boys and girls sit alternately?