If the difference of the number of arrangements of three things from a certain number of dissimilar things and the number of selections of the same number of things from them exceeds $100$ , then the least number of dissimilar things is

Question

If the difference of the number of arrangements of three things from a certain number of dissimilar things and the number of selections of the same number of things from them exceeds

100

, then the least number of dissimilar things is

Toppr Admin · Accepted Answer

Here-nP3-x2212-nC3-gt-100

If the difference of the number of arrangements of three things from a certain number of dissimilar things and the number of selections of the same number of things from them exceeds $100$ , then the least number of dissimilar things is
$8$
$6$
$5$
$7$

Here,
$^{n} P_{3} -^{n} C_{3} > 100$

If the difference of the number of arrangements of three things from a certain number of dissimilar things and the number of selections of the same number of things from them exceeds 100, then the least number of dissimilar things is8657

Here,nP3−nC3>100

If the difference of the number of arrangements of three things from a certain number of dissimilar things and the number of selections of the same number of things from them exceeds $100$ , then the least number of dissimilar things is
$8$
$6$
$5$
$7$

Here,
$^{n} P_{3} -^{n} C_{3} > 100$