1
JEE Main 2023 (Online) 10th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is :

A
560
B
1680
C
3360
D
1120
2
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which $$\mathrm{C}$$ and $$\mathrm{S}$$ do not come together, is $$(6 !) \mathrm{k}$$, then $$\mathrm{k}$$ is equal to :

A
5670
B
1890
C
2835
D
945
3
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is :

A
16800
B
14800
C
18000
D
33600
4
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is :

A
720
B
$$7(360)^{2}$$
C
$$7(720)^{2}$$
D
$$126(5 !)^{2}$$
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