1
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of ${ }^{47} \mathrm{C}_4+\sum\limits_{\mathrm{j}=1}^5{ }^{(52-\mathrm{j})} \mathrm{C}_3$ is

A

$\quad{ }^{52} \mathrm{C}_4$

B

$\quad{ }^{52} \mathrm{C}_2$

C

$\quad{ }^{48} \mathrm{C}_4$

D

$\quad{ }^{48} \mathrm{C}_2$

2
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of ways in which 6 boys and 4 girls can be seated around a round table such that 2 special boys and a special girl never sit together is

A

332620

B

332540

C

332640

D

332520

3
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The number of ways in which a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 of them are always to be excluded, is

A

2002

B

$\quad{ }^{20} \mathrm{C}_{11}$

C

$\quad{ }^{20} \mathrm{C}_6$.

D

$\quad{ }^{14} \mathrm{C}_6$

4
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

There are 11 points in a plane of which 5 points are collinear. Then the total number of distinct quadrilaterals with vertices at these points is

A
265
B
330
C
250
D
325
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