MHT CET 2026 18th April Morning Shift | Permutations and Combinations Question 5 | Mathematics

11 players of the Indian cricket team are sitting at a circular table. The number of ways they can sit so that two players, the wicket keeper and the captain never sit together is ___

$10!$

$2 \times 9!$

$8 \times 9!$

$9 \times 9!$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

In a test, there are 5 questions of the 'true or false' type. No student has got all the answers correct and the sequence of answers for every student is unique. The maximum number of students who could have appeared for the test is....

$5$

$31$

$15$

$89$

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

The number of arrangements of the letters in the word SOLAPUR, so that consonants and vowels are placed alternately is

$100$

$129$

$144$

$121$

MHT CET 2026 16th April Evening Shift

MCQ (Single Correct Answer)

-0

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:

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

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

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

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

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