151.If the different permutations of the word ‘EXAMINATION’ are listed as in dictionary. How many words are formed before the first letter starting with E?
152.In how many ways can 4 boys and 4 girls be seated around a circular table so that no two girls are adjacent?
Solution not provided.
Ans. 144
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153.In how many ways can 5 persons A, B, C, D, E sit around a circular table so that:
(a) B and D sit together? (b) A and D do not sot together?
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154.The letters of the word ‘MOTHER’ are written in all possible orders and these words are written as in a dictionary. Find the rank of the word ‘MOTHER’.
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155.In how many different ways can 6 beads of different colours form a necklace?
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156.
(a) In how many ways can 6 white beads and 5 red beads be arranged in a line on a table?
(b) In how many ways can 6 white and 5 red beads form a necklace?
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157.How many numbers can be formed by using digits 1, 2, 3, 4, 3, 2, 1 so that odd digits always occupy odd places?
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158.How many numbers greater than 40000 can be formed by using digits 2, 4, 6, 6, 8?
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159.How many different numbers of 6-digits can be formed by using the digits 3, 3, 4, 5, 5, 6? How many of them are less than 600000?
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160.The Prime Ministers of 14 countries sit at a round table. In how many ways can they sit, if Prime Ministers of India and Pakistan are not to sit together?