1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A bag contains 23 balls, of which 7 are identical. The number of ways of selecting 12 balls from the bag is....
A
${}^{18}C_6 + {}^{18}C_8$
B
${}^{18}C_7 + {}^{19}C_8$
C
${}^{16}C_8 + {}^{18}C_{15}$
D
${}^{16}C_8 + {}^{18}C_9$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of five-digit numbers formed using the digits $2, 3, 5, 7, 9$ without repetition and which are greater than $24000$ are
A
$120$
B
$117$
C
$114$
D
$96$
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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