Find the number of words formed by permuting all the letters of t… - Vidyadip

Question

Find the number of words formed by permuting all the letters of the following words: PAKISTAN.

✓

Answer

There are 8 letters in the word 'PAKISTAN' out of which 2 are A'S, and the rest are all distinct. So, the total number of words $=\frac{8!}{2!\ }$ $=\frac{8\times7\times6\times5\times4\times3\times2!}{2!}$ $=8\times7\times6\times5\times4\times3$ $=20160$

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 4 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

The sum of three numbers in G.P. is 14. If the first two terms are each increased by 1 and the third term decreased by 1, the resulting numbers A.P. Find the numbers.

In a village, there are 87 families of which 52 families have at most 2 children. In a rural development programme, 20 families are to be helped chosen for assistance of which at least 18 families must have at most 2 children. In how many ways can the choice be made?

Differentiate the following from first principle$\sqrt{\tan\text{x}}$

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

If $\cos\text{x}=\frac{\cos\alpha+\cos\beta}{1+\cos\alpha\cos\beta}$ prove that $\tan\frac{\text{x}}{2}=\pm\tan\frac{\alpha}{2}\tan\frac{\beta}{2}$

Find the centre, the lengths of the axes, eccentricity, foci of the following ellipse:$4\text{x}^2+\text{y}^2-8\text{x}+2\text{y}+1=0$

Find the derivative of the following function from first principle. $(\text{x}-1)(\text{x}-2)$

Prove the following by using the principle of mathematical induction for all n ∈ N:$1+2+3+...+\text{n}<\frac{1}{8}(2\text{n}+1)^2.$

Solve the following system of equations in R. $|\text{x}+1|+|\text{x}|>3$

Let f and g be two real functions defined by $\text{f(x)}=\sqrt{\text{x}+1}$ and $\text{g(x)}=\sqrt{9-\text{x}^2}$ Then describe the following functions: $\text{f}^2+7\text{f}$