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

The total number of permutations of $$n$$ different things taken not more than $$r$$ at a time, when each thing may be repeated any number of times is

A
$$\frac{n\left(n^{\prime}+1-1\right)}{n-1}$$
B
$$\frac{n^{r+1}-1}{n-1}$$
C
$$\frac{n\left(n^{\prime}-1\right)}{n-1}$$
D
$$\frac{\left(n^{\prime}-1\right)}{n-1}$$
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

How many chords can be drawn through 21 points on a circle?

A
105
B
210
C
420
D
840
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a polygon of $$n$$ sides has 560 diagonals, then $$n=$$

A
35
B
36
C
37
D
38
4
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
$${ }^6 C_1 D_5+{ }^6 C_0 \cdot D_6$$
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