identify following statements for true (T) and and False (F): `S_(1)`: An old man while dialing a 7-digit telephone number remembers that the first four digits consist of one 1's, one 2's and two 3's. he also remembers that the fifth digit is either a 4 or 5 while has no memory of the sixt digit, he remembers that the seventh digit is 9 minus the sixth digit, maximum number of distinct trials he has to try to make sure that he dials the correct telephone number, is 240. `S_(2)`: A woman has 11 close friends. the number of ways in which she can invite 5 of them to dinner, if two of them are not on speaking terms and will not attend together is 378. `S_(3)`: 10 IIT and 2 PET students sit in a row. if the total number of ways in which exactly 3 IIT students sit between 2 PET students is `lamda xx10!`, then `lamda` is 6. which of the following choice is correct?