In how many ways can 7 letters be posted in 4 letter boxes? - Vidyadip

Question

In how many ways can 7 letters be posted in 4 letter boxes?

✓

Answer

Total number of ball = n = 5 Number of boxes = r = 3 5 different balls can be distributed among three boxes in $^5P_3$ ways. $^5\text{p}_3= \frac{5!}{(5-3)!}= \frac{5!}{2!}=\frac{5\times 4\times 3\times 2\times 1}{2 \times 1}=60.$ In 60 ways 5 different balls can be distributed among three boxes.

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 "(Each question 3 marks)" from Permutations→Permutations — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\cos\text{A}=-\frac{24}{25},$ $\cos\text{B}=-\frac{12}{13},$ where A and B both lie in second quadrant,find the value of $\sin\text{(A+B)}$.

$\sin\text{(A+B)}$
$\cos\text{(A+B)}$

Find the equation of the straight lines passing through the origin and making an angle of 45° with the straight line $\sqrt{3}\text{x}+\text{y}=11.$

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}(\cos\text{x})^{\frac{1}{\sin\text{x}}}$

Solve $21x^2- 28x + 10 = 0$

Let A = {1, 2, 4, 5}, B = {2, 3, 5, 6}, C = {4, 5, 6, 7}. Verify the following identities:
$\text{A}\cap(\text{B}-\text{C})=(\text{A}\cap\text{B})-(\text{A}\cap\text{C})$

How many word with or without meaning can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
$\frac{{{x^2}}}{{36}} + \frac{{{y^2}}}{{16}} = 1$

Solve the following equations: $\cos\text{x}+\sin\text{x}=\cos2\text{x}+\sin2\text{x}$

If $a, b, c$ and $d$ are in G.P show that $\left(a^2+b^2+c^2\right)\left(b^2+c^2+d^2\right)=(a b+b c+c d)^2$.

Find the sum of the following geometric progrssions:$4,2,1,\frac{1}{2}\ ...\text{to 10 terms.}$