MHT-CET

Permutation and Combination question bank (Mathematics)

Practice 83 free MHT-CET Mathematics - Permutation and Combination questions with answers and step-by-step solutions.

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Q1.

The value of ${}^{47}C_4 + \sum_{j=1}^5 {}^{(52-j)}C_3$ is

(A)
${}^{52}C_4$
(B)
${}^{52}C_2$
(C)
${}^{48}C_4$
(D)
${}^{48}C_2$
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Q2.

The probability that in a random arrangement of the letters of the word '$UNIVERSITY$',the two '$I$'s do not come together is

(A)
$\frac{1}{5}$
(B)
$\frac{1}{10}$
(C)
$\frac{4}{5}$
(D)
$\frac{3}{10}$
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