`(343xx49)/(216xx16xx81)=?` `(7^5)/(6^7)` b. `(7^5)/(6^8)` c. `(7^6)/(6^7)` d. `(7^4)/(6^8)`

(343xx49)/(216xx16xx81)=?(7^(5))/(6^(7))(b)(7^(5))/(6^(8))(c)(7^(4))/(6^(7)) (d) (7^(6))/(6^(7))(e) None of these

(-7)xx(-6)xx5=?

A fair die is tossed eight times. The probability that a third six is observed in eight throw is (\ ^7C_(10)xx5^7)/(6^7) b. (\ ^7C_2xx5^2)/(6^8) c. (\ ^7C_2xx5^5)/(6^6) d. none of these

12.5xx8.4xx7.6=?

Verify that: (i) ((-3)/(16)xx(8)/(15))=((8)/(15)xx(-3)/(16)) (ii) (2)/(3)xx((6)/(7)xx(-4)/(15))= ((2)/(3)xx(6)/(7))xx(-14)/(15) (iii) (5)/(6)xx((-4)/(5)+(-7)/(10))=((5)/(6)xx(-4)/(5))+((5)/(6)xx(-7)/(10))

A fair die is tossed eight xx.The probability that a third six observed in eight throw is (7C_(10)xx5^(7))/(6^(7)) b.(7C_(2)xx5^(2))/(6^(8)) c.(7C_(2)xx5^(5))/(6^(6))d none of these

Find n if : a. ((4)/(49))^(5)xx((4)/(49))^(n-3)=((2)/(7))^(16) b. ((5)/(7))^(12)xx[((7)/(5))^(2)]^(8)=((7)/(5))^(2n-6) c. ((9)/(25))^(4)xx((9)/(25))^(n)=((3)/(5))^(12) d. ((3)/(5))^(20)xx[((5)/(3))^(3)]^(6)=((3)/(5))^(3n-13)

(4.5xx3.7+4.5xx6.3)/(1.5xx8.4-1.5xx7.4)=?