Given $5$ flags of different colours We know the signal requires $2$ flags. The number of flags possible for upper flag is $5.$ Now as one of the flag is taken, the number of flags remaining for...
Given $A$ coin is tossed $3$ times and the outcomes are recorded The possible outcomes after a coin toss are head and tail. The number of possible outcomes at each coin toss is $2.$ ∴The total...
Let the five-digit number be $ABCDE.$ Given that first $2$ digits of each number is $ 67.$ Therefore, the number is $67CDE.$ As the repetition is not allowed and $6$ and $7$ are already taken, the...
Suppose the $4$ digit code be $1234.$ Hence, the number of letters possible is $10.$ Let’s suppose any $1$ of the ten occupies place $1.$ So, as the repetition is not allowed, the number of letters...
Let the $3-digit$ number be $ABC,$ where $C$ is at the unit’s place, $B$ at the tens place and $A$ at the hundreds place. As the number has to even, the digits possible at $C$ are $2$ or $4$ or $6.$...
(i) Let the $3-digit$ number be $ABC,$ where $C$ is at the units place, $B$ at the tens place and $A$ at the hundreds place. Now when repetition is allowed, The number of digits possible at $C$ is...
We are given, $5$ flags of different colours. Also, each signal requires the use of $2$ flags. The number of flags required for upper signal is $5$. As one of the flags is taken, then the number of...
Given, A coin is tossed $3$ times and the outcomes are recorded. Also, the possible outcomes after tossing a coin are head and tail. So, the number of possible outcomes while tossing the coin each...
Suppose the\[4\]-digit code to be $1234$. So, in the first place, the number of possible alphabets is $10$. Since repetition is not allowed then the number of alphabets left for the second letter is...
Suppose the $3$-digit number be \[PQR\], where $R$ is the digit at the unit’s place, $Q$ is the digit at the tens place and $P$ is the digit at hundreds place. Since the number are to be even, The...