Word ‘UNIVERSITY’ is arranged randomly. Then the probability that… - Vidyadip

MCQ

Word ‘$UNIVERSITY$’ is arranged randomly. Then the probability that both ‘$I$’ does not come together, is

A
$\frac{3}{5}$
B
$\frac{2}{5}$
✓
$\frac{4}{5}$
D
$\frac{1}{5}$

✓

Answer

Correct option: C.

$\frac{4}{5}$

c
(c) Total number of ways $ = \frac{{10\,!}}{{2\,!}}$

Favourable number of ways for $'I'$ come together is $9\,!$

Thus probability that $'I'$ come together

$ = \frac{{9\,!\, \times \,2\,!}}{{10\,!}} = \frac{2}{{10}} = \frac{1}{5}$.

Hence required probability $ = 1 - \frac{1}{5} = \frac{4}{5}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 14. probability→STD 11 - 14. probability — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

A spherical ball is kept at the corner of a rectangular room such that the ball touches two (perpendicular) walls and lies on the floor. If a point on the sphere is at distance of $9,16,25$ from the two walls and the floor, then a possible radius of the sphere is

In the truth table for the statement $\sim ( \sim p ∨ \sim q),$ the last column has the truth value in the following order.

$\sin 15^\circ + \cos 105^\circ = $

If the tangent at $\left( {1,7} \right)$ to the curve ${x^2} = y - 6$ touches the circle ${x^2} + {y^2} + 16x + 12y + c = 0$ then the value of $c$ is:

$A =\{ x_1, x_2, x_3, x_4 \}; \,\,$$B = \{ y, y_2, y_3, y_4 \} .$ A function is defined from set $A$ to set $B.$ Number of one-one function such that $f(x_i) \ne y_i$ for $i = 1, 2, 3, 4$ is equal to :

If the permutations of $A, B, C, D, E$ taken all together be written down in alphabetical order as in dictionary and numbered, then the rank of the permutation $DEBAC$ is

The domain of definition of the function $\text{f(x)}=\sqrt{\text{x}-1}+\sqrt{3-\text{x}}$ is:

If the point (5, 2) bisects the intercept of a line between the axes, then its equation is:

The number of values of x in $[0,\ 2\pi]$ that satisfy the equation $\sin^2\text{x}-\cos\text{x}=\frac{1}{4}$

If $|3 – 4\text{x}|\geq9,$ then $\text{x}\in$