1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Words of length 10 are formed by using the letters A, B, C, D, E, F, G, H, I, J. Let $x$ be number of such words where no letter is repeated and $y$ be number of such words where exactly two letters are repeated twice and no other letter is repeated, then the value of $\frac{y}{x}$ is

A
45
B
415
C
315
D
215
2
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Consider a group of 5 boys and 7 girls. The number of different teams, consisting of 2 boys and 3 girls that can be formed from this group if there are two specific girls A and B , who refuse to be the members of the same team, is

A
350
B
300
C
200
D
500
3
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a class of 300 students, every student reads 5 news papers and every news paper is read by 60 students. Then the number of newspapers is

A
at least 30
B
at most 20
C
exactly 25
D
exactly 10
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Five persons $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ and E are seated in a circular arangement, if each of them is given a hat of one of the three colours red, blue and green, then the number of ways, of distributing the hats such that the person seated in adjacent seats get different coloured hats, is

A
30
B
15
C
60
D
40

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