1
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If ${}^{n}C_4, {}^{n}C_5$ and ${}^{n}C_6$ are in arithmetic progression (A.P.), then the value of n is...
A
$5$ or $11$
B
$7$ or $14$
C
$8$ or $15$
D
$6$ or $13$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Four men and three women are to be arranged at a round table. The number of arrangements in which no two women are together is ....
A
$7!$
B
$3! \times 4!$
C
$3! \times 3!$
D
$6!$
3
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

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

4
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

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