Total number of $3$ letter words that can be formed from the letters of the word $'SAHARANPUR'$ is equal to
$210$
$237$
$247$
$227$
If $^n{C_{r - 1}} = 36,{\;^n}{C_r} = 84$ and $^n{C_{r + 1}} = 126$, then the value of $r$ is
In a touring cricket team there are $16$ players in all including $5$ bowlers and $2$ wicket-keepers. How many teams of $11$ players from these, can be chosen, so as to include three bowlers and one wicket-keeper
In how many ways can $6$ persons be selected from $4$ officers and $8$ constables, if at least one officer is to be included
Find the number of ways in which two Americans, two British, One Chinese, One Dutch and one Egyptian can sit on a round table so that person of the same nationality are separated?
How many numbers greater than $1000000$ can be formed by using the digits $1,2,0,2,4,2,4 ?$