Combination of Atleast One Thing from n Things When All Are Not Different

Q.

Find the first five multiples of $12$.

Q.

The number of $7$ digit numbers which can be formed using the digits $1,2,3,2,3,3,4$ is?

1. $420$

2. $840$

3. $2520$

4. $5040$

Q.

Find the first five multiples of $21$.

Q.

Write down the first five multiples of the given numbers:

$12$

Q.

Give the first four multiples of $17$

___________________________

Q. The number of seven digits integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only , is

1. $66$
2. $88$
3. $55$
4. $77$

Q.

Write down the first five multiples of the given numbers:

$13$

Q. How many three-digit numbers beginning with $7$ and ending in $5$ can be formed from the digits $1,2,3,4,5$ and $7$ without repetition of any digit?

1. $6$
2. $4$
3. $8$
4. $20$

Q.

Make statements correct by using $\left(\times \right)$ or $\left(÷\right)$ in the boxes:

$505\_\_\_\_5=101$

Q. The number of ways of distributing eight identical balls in three distinct boxes so that none of the boxes is empty is

1. 5
2. 21
3. ${}^8{C}_3$
4. $3^8$

Q.

The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by

1. {(1, 4, (2, 5), (3, 6), .....}

2. {(4, 1), (5, 2), (6, 3), .....}

3. {(1, 3), (2, 6), (3, 9), ..}

4. None of these

Q. The number of ways of distributing eight identical balls in three distinct boxes so that none of the boxes is empty is

1. 5
2. ${}^8{C}_3$
3. $3^8$
4. 21

Q. The number of divisors of $2^2{.3}^3{.5}^3{.7}^5$ of the form 2n+1, n $ϵN$ is

1. 96
2. 95
3. 94
4. 924