1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes? Notation $$D_n=n!\left(\sum_\limits{i=0}^n \frac{(-1)^i}{i!}\right)$$

A
$${ }^6 C_4 \cdot D_2$$
B
$$\sum_\limits{r=3}^6{ }^6 C_{6-r} \cdot D_r$$
C
$$\sum_\limits{r=2}^6{ }^6 C_{6-r} \cdot D_r$$
D
$${ }^6 C_1 D_5+{ }^6 C_0 \cdot D_6$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The value of $${ }^6 P_4+4 \cdot{ }^6 P_3$$ is

A
5040
B
2520
C
840
D
720
3
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The number of ways in which 3 boys and 2 girls can sit on a bench so that no two boys are adjacent is

A
6
B
10
C
12
D
32
4
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

In how many ways can 5 balls be placed in 4 tins if any number of balls can be placed in any tin?

A
5P4
B
5C4
C
4$$^5$$
D
5$$^4$$
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