Permutations and Combinations · Mathematics · MHT CET

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MHT CET 2023 14th May Evening Shift
If in a regular polygon, the number of diagonals are 54, then the number of sides of the polygon are
MHT CET 2023 14th May Morning Shift
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 amon...
MHT CET 2023 13th May Evening Shift
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...
MHT CET 2023 13th May Morning Shift
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 ca...
MHT CET 2023 12th May Evening Shift
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
MHT CET 2023 12th May Morning Shift
If $$\mathrm{T}_{\mathrm{n}}$$ denotes the number of triangles which can be formed using the vertices of regular polygon of $$\mathrm{n}$$ sides and \$...
MHT CET 2023 11th May Evening Shift
The teacher wants to arrange 5 students on the platform such that the boy $$B_1$$ occupies second position and the girls $$G_1$$ and $$G_2$$ are alway...
MHT CET 2023 11th May Morning Shift
Five students are to be arranged on a platform such that the boy $$B_1$$ occupies the second position and such that the girl $$G_1$$ is always adjacen...
MHT CET 2023 10th May Morning Shift
A group consists of 8 boys and 5 girls, then the number of committees of 5 persons that can be formed, if committee consists of at least 2 girls and a...
MHT CET 2023 9th May Evening Shift
A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group including the selection of...
MHT CET 2023 9th May Morning Shift
If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exchanged, then the number of mem...
MHT CET 2022 11th August Evening Shift
If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and section II consists of 5 questi...
MHT CET 2021 24th September Evening Shift
A committee of 5 is to be formed out of 6 men and 4 ladies. The number of ways this can be done, when at most 2 ladies are included, is
MHT CET 2021 23th September Morning Shift
Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are
MHT CET 2021 22th September Evening Shift
The numbers can be formed using the digits $$1,2,3,4,3,2,1$$ so that odd digits always occupy odd places in __________ ways.
MHT CET 2021 22th September Morning Shift
A polygon has 44 diagonals. Then the number of sides of the polygon are
MHT CET 2021 21th September Evening Shift
For a set of five true or false questions, no student has written the all correct answers and no two students have given the same sequence of answers....
MHT CET 2021 21th September Morning Shift
The number of ways in which 8 different pearls can be arranged to form a necklace is
MHT CET 2021 20th September Evening Shift
If $$\frac{n !}{2 !(n-2) !}$$ and $$\frac{n !}{4 !(n-4) !}$$ are in the ratio $$2: 1$$, then $$n=$$
MHT CET 2021 20th September Morning Shift
All the letters of the word 'ABRACADABRA' are arranged in different possible ways. Then the number of such arrangements in which the vowels are togeth...
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