MHT CET 2026 17th April Morning Shift | Permutations and Combinations Question 7 | Mathematics

The number of 4-letter words formed from the English alphabet such that there are exactly 2 vowels and 2 consonants and no vowel is repeated, but consonants may be repeated is:

${}^{4}C_2 \times {}^{5}C_2 \times (21)^2$

${}^{4}C_2 \times {}^{5}C_2 \times {}^{21}C_2$

${}^{4}C_2 \times {}^{5}P_2 \times {}^{21}P_2$

${}^{4}C_2 \times {}^{5}P_2 \times (21)^2$

MHT CET 2026 16th April Morning Shift

MCQ (Single Correct Answer)

-0

The number of arrangements of the numbers strictly between 10 and 1000 formed with the digits 0, 1, 2, 3, 4, 5, 6 without repetition is

$180$

$215$

$216$

$222$

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

A bag contains 23 balls, of which 7 are identical. The number of ways of selecting 12 balls from the bag is....

${}^{18}C_6 + {}^{18}C_8$

${}^{18}C_7 + {}^{19}C_8$

${}^{16}C_8 + {}^{18}C_{15}$

${}^{16}C_8 + {}^{18}C_9$

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