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Find the number of non-zero integral solutions of the equation `|1-i|^x = 2^x`.
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If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that (a2 + b2) (c2 + d2) (e2 + f2) (g2 + h2) = A2 + B2.
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If `((1+i)/(1-i))^m` = 1, then find the least positive integral value of m.
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Evaluate 4! – 3!
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Is 3! + 4! = 7!?
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Compute `(8!)/(6! xx 2!)`
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if `1/(6!) + 1/(7!) = x/(8!)`, find x
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Evaluate `(n!)/((n-r)!)` when n = 6, r = 2
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Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5
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How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
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How many 4-digit numbers are there with no digit repeated?
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How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
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Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?
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From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?
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Find n if n – 1P3 : nP4 = 1 : 9
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Find r if `""^5P_r = 2^6 P_(r-1)`
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Find r if `""^5P_r = 2^6 P_(r-1)`
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Find r if `""^5P_r = ""^6P_(r-1)`
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How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?
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