Ten IIT and 2 DCE students sit in a row. The number of ways in which exactly 3 IIT student sit between 2 DCE students is `(A)` `.^10 C_3xx2!xx3!xx8!` `(B)` `10 !xx2!xx3!xx8!` `(C)` `5!xx2!xx9!xx8!` `(D)` none of these

2/3xx6/8xx2/3xx3/4=

2/3xx6/8xx2/3xx3/4=

Evaluate the following 13xx4xx3xx2-:8

120 can be expressed as a product of its prime factors as (a) 5 xx 8 xx 3 (b) 15 xx 2^3 (c) 10 xx 2^2 xx 3 (d) 5 xx 2^3 xx 3

A person predicts the outcome of 20 cricket matches of his home team. Each match can result in either a win, loss, or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct is equal to a. ^20 C_(10)xx2^(10) b. ^20 C_(10)xx3^(20) c. ^20 C_(10)xx3^(10) d. ^20 C_(10)xx2^(20)

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

Simplify and write the in the exponential form: (3xx3xx3xx3)/(2xx2xx3xx3)

Verify and state the property used in each of the following. 9 times [(-8) times (-2)]=[9 times(-8)] times (-2)

Solve the following with regard to the correct significant figures (i) sqrt(4.8-2.35) (ii) 2.35xx10^(3)-1.2xx10^(3)//2.0xx10^(2)

In which of the following expressions, prime factorization has been done? (i) 24=2\ xx\ 3\ xx\ 4 (ii) 56=1\ xx\ 7\ xx\ 2\ xx\ 2\ xx\ 2 (iii) 70=2\ xx\ 5\ xx\ 7\ (iv) 54=2\ xx\ 3\ xx\ 9