1
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of positive integral solutions of $x y z=60$ is

A

${ }^{59} \mathrm{C}_2$

B

${ }^4 \mathrm{C}_2 \times{ }^3 \mathrm{C}_2 \times{ }^3 \mathrm{C}_2$

C

${ }^4 \mathrm{C}_3$

D

${ }^3 \mathrm{C}_1 \times{ }^4 \mathrm{C}_0 \times{ }^4 \mathrm{C}_4$

2
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

5 boys and 5 girls have to sit around a table. The number of ways in which all of them can sit so that no two boys and no two girls are together is

A

14400

B

2880

C

576

D

625

3
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

All possible words (with or without meaning) the contain the word 'GENTLE' are formed using all the letters of the word 'INTELLIGENCE'. Then, the number of words in which the word 'GENTLE' appears among the first nine positions only is

A

1440

B

5040

C

2520

D

720

4
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ { }^{20} P_5-{ }^{19} P_5= $$

A

${ }^{19} P_4$

B

$4\left({ }^{19} P_4\right)$

C

$5!(646)$

D

$6!(646)$

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