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How many different words can be formed with the letters of the word NAINITAL such that each of the word begin with L and end with T ?

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Important Questions on Permutations & Combinations

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How many words can be made from the word MATHEMATICS in which vowels are together?
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How many words can be made from the word IMPORTANT in which both T do not come together?
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How many words can be made from the word TING TING TRING in which vowels occupy even positions?
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If the different permutations of the word PRODIGIOUS are listed as in a dictionary, then what is the rank of the word PRODIGIOUS?
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If all the letters of the word SEQUESTERED be arranged as in a dictionary, what is 50th  word?
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How many 7 digit numbers can be formed using the digits 1,2,0,2,4,2,4 ?
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How many 6 digit numbers can be formed out of the digits of the number 113113 ?
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How many 6 digit numbers can be formed out of the number 567724, which are even?