1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

In how many ways can the word "CHRISTMAS" be arranged so that the letters '$$\mathrm{C}$$' and '$$\mathrm{M}$$' are never adjacent?

A
$$8!\times \frac{9}{2}$$
B
$$8!\times \frac{7}{2}$$
C
$$7!\times \frac{9}{2}$$
D
$$9!\times \frac{7}{2}$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\left[{ }^{n+1} C_{r+1}\right]:\left[{ }^n C_r\right]:\left[{ }^{n-1} C_{r-1}\right]=11: 6: 3$$ then $$n r=$$

A
30
B
40
C
20
D
50
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\text { Find }{ }^n C_{21} \text {, if }{ }^n C_{10}={ }^n C_{12}$$

A
1
B
21
C
22
D
2
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

There are 10 points in a plane out of which 4 points are collinear. How many straight lines can be drawn by joining any two of them?

A
39
B
40
C
45
D
21
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