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A biologist studying the genetic code is interested to know the number of possible arrangements of 12 molecules in a chain. The chain contains 4 different molecules represented by the initials A (for Adenine), C (for Cytosine), G (for Guanine) and T (for Thymine) and 3 molecules of each kind. How many different such arrangements are possible?
Concept: undefined >> undefined
In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row if the discs of the same colour are indistinguishable?
Concept: undefined >> undefined
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How many numbers greater than 1000000 can be formed by using the digits 1, 2, 0, 2, 4, 2, 4?
Concept: undefined >> undefined
In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?
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Find the total number of permutations of the letters of the word 'INSTITUTE'.
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The letters of the word 'SURITI' are written in all possible orders and these words are written out as in a dictionary. Find the rank of the word 'SURITI'.
Concept: undefined >> undefined
If the letters of the word 'LATE' be permuted and the words so formed be arranged as in a dictionary, find the rank of the word LATE.
Concept: undefined >> undefined
If the letters of the word 'MOTHER' are written in all possible orders and these words are written out as in a dictionary, find the rank of the word 'MOTHER'.
Concept: undefined >> undefined
If the permutations of a, b, c, d, e taken all together be written down in alphabetical order as in dictionary and numbered, find the rank of the permutation debac ?
Concept: undefined >> undefined
Find the total number of ways in which six ‘+’ and four ‘−’ signs can be arranged in a line such that no two ‘−’ signs occur together.
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In how many ways can the letters of the word
"INTERMEDIATE" be arranged so that:the vowels always occupy even places?
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In how many ways can the letters of the word "INTERMEDIATE" be arranged so that:
the relative order of vowels and consonants do not alter?
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The letters of the word 'ZENITH' are written in all possible orders. How many words are possible if all these words are written out as in a dictionary? What is the rank of the word 'ZENITH'?
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Find the square root of the following complex number:
−5 + 12i
Concept: undefined >> undefined
Find the square root of the following complex number:
−7 − 24i
Concept: undefined >> undefined
Find the square root of the following complex number:
1 − i
Concept: undefined >> undefined
Find the square root of the following complex number:
−8 − 6i
Concept: undefined >> undefined
Find the square root of the following complex number:
8 −15i
Concept: undefined >> undefined
Find the square root of the following complex number:
\[- 11 - 60\sqrt{- 1}\]
Concept: undefined >> undefined
Find the square root of the following complex number:
\[1 + 4\sqrt{- 3}\]
Concept: undefined >> undefined
