The total number of different combinations of one or more letters which can be made from the letters of the word ‘$MISSISSIPPI$’ is
$150$
$148$
$149$
None of these
In a shop there are five types of ice-creams available. A child buys six ice-creams.
Statement $-1 :$ The number of different ways the child can buy the six ice-creams is $^{10}C_5.$
Statement $-2 :$ The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging $6 \,A's$ and $4 \,B's$ in a row.
The number of words not starting and ending with vowels formed, using all the letters of the word $'UNIVERSITY'$ such that all vowels are in alphabetical order, is
The number of ways of dividing $52$ cards amongst four players equally, are
If $n = ^mC_2,$ then the value of $^n{C_2}$ is given by
If $^n{C_r} = {\,^n}{C_{r - 1}}$ and $^n{P_r}{ = ^n}{P_{r + 1}}$, then the value of $n$ is