Evaluate `.^31C_26-^30C_26``

Evaluate C(31,26)-C(30,26)

Use property to evaluate: 38^(3) + (-26)^(3) + (-12)^(3)

Evaluate sin^(2)26^(@)+sin^(2)64^(@) .

Evaluate : sec 26^(@) sin 64^(@) + (cosec 33^(@))/(sec 57^(@))

Evaluate : (i) (sin18^@)/(cos72^@) (ii) (tan26^@)/(cot64^@) (iii) cos48^@-sin42^@ (iv) c o s e c 31^@sec59^@

Let q be a positive with q le 50 . If the sum ""^(98)C_(30)+2" "^(97)C_(30)+3." "^(96)C_(30)+ …… + 68." "^(31)C_(30)+69." "^(30)C_(30)=""^(100)C_(q) Find the sum of the digits of q.

Average atomic mass of magnesium is 24.31 amu. This magnesium is composed of 79 mole % of .^(24)Mg and remaining 21 mol % of .^(25)Mg and .^(26)Mg . Calculate mole % of .^(26)Mg .

Evaluate sqrt(26) correct upto two place of decimal

Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is a. ^(52) C_(26). 2^(26) b. ^104 C_(26) c. ^(52)C_(26) d. none of these

If a+b+c=9\ \ \ a n d\ \ \ a b+b c+c a=26 , find the value of a^3+b^3+c^3-3a b c