1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A linguistic club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this group including the selection of a leader (from among these 4 members) for the team. If the team has to include at most one boy, the number of ways of selecting the team is

A
140
B
320
C
76
D
380
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Five students are selected from $$n$$ students such that the ratio of number of ways in which 2 particular students are selected to the number of ways 2 particular students not selected is $$2: 3$$. Then, the value of $$n$$ is

A
5
B
6
C
11
D
not possible
3
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Five persons $$\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$$ and $$\mathrm{E}$$ are seated in a circular arrangement. If each of them is given a cap of one of the three colours red, blue and green, then the number of ways of distributing the caps such that the persons seated in adjacent seats get different coloured caps, is

A
30
B
15
C
60
D
40
4
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of words that can be formed by using the letters of the word CALCULATE such that each word starts and ends with a consonant, are

A
$$5 \times 7 !$$
B
$$\frac{9 !}{8}$$
C
$$\frac{5 \times 7 !}{2}$$
D
$$20 \times 7!$$
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