How many words can be formed by taking $3$ consonants and $2$ vowels out of $5$ consonants and $4$ vowels
$^5{C_3} \times {\,^4}{C_2}$
$\frac{{^5{C_3} \times {\,^4}{C_2}}}{5}$
$^5{C_3} \times {\,^4}{C_3}$
${(^5}{C_3} \times {\,^4}{C_2})\,(5)\,!$
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.
There are $m$ men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by $84,$ then the value of $m$ is
In how many ways a team of $11$ players can be formed out of $25$ players, if $6$ out of them are always to be included and $5$ are always to be excluded
How many words, with or without meaning, each of $3$ vowels and $2$ consonants can be formed from the letters of the word $INVOLUTE$?
How many numbers of $6$ digits can be formed from the digits of the number $112233$