Evaluate : `( 5 C_(2)times 2 C_(2) ) / ( 14 C_(4) )`

Evaluate : ( c ) 3/4 times 1/5 times 3/9 ( d ) 1/3 times 2/4 times 5/3

Evaluate : ( a^4 times b^5 times c^7) / ( c^8 times a^4 times b^3 )

Evaluate : ( a^4 times b^5 times c^7 )/ ( c^8 times a^4 times b^3 )

Find the value of (-2)^-5 times (-2)^6 is (a) 2 (b) -2 (c) -5 (d) 6

If for z as real or complex . (1+z^(2) + z^(4))^(8) = C_(0) C_(1) z^(2) C_(2) z^(4) + …+ C_(16) z^(32) , prove that C_(0) + C_(3) + C_(6) + C_(9) + C_(12) + C_(15) + (C_(2) + C_(5) + C_(8) + C_(11) + C_(14)) + (C_(1) + C_(4) + C_(7) + C_(10) + C_(16)) omega^(2) = 0 , where omega is a cube root of unity .

Find the value of (-9/5 +( -8/5 ) ÷ 5/2 times (-5/4 ) ) (a) -1 (b) -3 (c) 2 (d) -8

If 3 cards are drawn from a pack of 52 cards at random, then the probability of getting 2 cards from one suit and one card from another suit is (A) (^(4)C_(2)times^(13)C_(2)times^(13)C_(1))/(^(52)C_(3)) (B) (^(4)P_(2)times^(13)C_(2)times^(13)C_(1))/(^(52)C_(3)) (C) (1^(13)C_(2)times^(13)C_(1))/(^(52)C_(3)) (D) (1^(13)C_(2)times^(13)C_(1))/(^(52)C_(3))

Evaluate .^(20)C_(5)+sum_(r=2)^(5).^(25-r)C_(4)