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NIMCET 2018 Mathematics PYQ — Three numbers , and are chosen at random (simultaneously) from am… | Mathem Solvex

The probability of the occurrence of an event A out of a total possible outcomes N is given by:
$P (A) = \frac{n ( A )}{N}$ ,
where $n (A)$ is the number of ways in which the event A can occur.

Basic Principle of Counting:
If there are $m$ ways for happening of an event A, and corresponding to each possibility there are $n$ ways for happening of event B, then the total number of different possible ways for happening of events A and B are:

Either event A alone OR event B alone: $m + n$
Both event A AND event B together: $m \times n$

The number of ways in which $r$ distinct objects can be selected from a group of $n$ distinct objects is:
$^{n} C_{r} = \frac{n !}{r ! ( n - r )!}$

If a number is divided by $n$ , then the possible standard remainders are:
$0, 1, 2, \dots, (n - 1)$

The probability of the occurrence of an event A out of a total possible outcomes N is given by:
$P (A) = \frac{n ( A )}{N}$ ,
where $n (A)$ is the number of ways in which the event A can occur.

Either event A alone OR event B alone: $m + n$
Both event A AND event B together: $m \times n$

The number of ways in which $r$ distinct objects can be selected from a group of $n$ distinct objects is:
$^{n} C_{r} = \frac{n !}{r ! ( n - r )!}$

If a number is divided by $n$ , then the possible standard remainders are:
$0, 1, 2, \dots, (n - 1)$

NIMCET 2018 — Mathematics PYQ

Choose the correct answer:

Explanation

Explanation