Download App

Permutations , combinations and binomial expansion — Statistics STD 11 Commerce — Question

Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsPermutations , combinations and binomial expansion1 Mark
Question
Obtain the values of : ${ }^{10} P_{2}$
✓

Answer

${ }^{10} \mathrm{P}_2=\frac{10 !}{(10-3) !}$
$ =\frac{10 !}{7 !}$
$ =\frac{10 \times 9 \times 8 \times 7 !}{7 !}$
$ =10 \times 9 \times 8=720$
$ \therefore{ }^{10} \mathrm{P}_2=720$
Alternative method:
${ }^{10} \mathrm{P}_2=10(10-1)(10-2)$
$ =10 \times 9 \times 8=720$
$ \therefore{ }^{10} \mathrm{P}_2=720$

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 "1 Marks Each" from Permutations , combinations and binomial expansion→Permutations , combinations and binomial expansion — all question types→Statistics STD 11 Commerce question papers→Gujarat Board STD 11 Commerce question papers→Gujarat Board question paper generator→

Similar questions

Give two illustrations of continuous variable.
→
State the type of following functions : $g: R \rightarrow$ $R, g(x)=7, x \in R$
→
Which types of measures of dispersion are used for comparing two or more groups in terms of the variability ?
→
What is class length? Write its formula.
→
Define manifold classification.
→
If the mean of $x-1, x, x+1,2 x+3,7,9$ is 4 , find the value of $x$.
→
Find first quartile for variable with observations $15, 4, 7, 20, 2, 7, 13.$
→
State the type of data 'India's Population Census.'
→
When properties of the units of the population have more dissimilarity, the use of Stratified random sampling method is advantageous.
→
If $T_n=20^n$ for a geometric progression, find $S _2$.
→