Ten IIT and 2DCE 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

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

Evaluate the following 13xx4xx3xx2-:8

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

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

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)

Find the sum to n terms of the series : 1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ...

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

Simplify and write the in the exponential form: (2xx3xx3xx3xx3xx3)/(2xx3xx3xx5xx5xx5)