Aptitude · all questions

Permutation And Combination
practice.

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167

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Q121

In how many different ways can the letters of the word OPERATE be arranged ?

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Q122

Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a women. In how many different ways can it be done ?

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Q123

In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women ?

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Q124

In how many different ways can the letters of the word GAMBLE be arranged?

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Q125

In how many different ways can the letters of the word RUMOUR be arranged?

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Q126

In how many different ways can the letters of the word ‘TRANSPIRATION’ be arranged so that the vowels always come together?

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Q127

In how many different ways can the letters of the word CAPITAL be arranged so that the vowels always come together?

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Q128

A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have 2 men and 3 women?

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Q129

In how many different ways can the letters of the word INCREASE be arranged?

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Q130

In how many different ways can the letters of the word CREATE be arranged?

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Q131

In how many different ways can the letters of the word AWARE be arranged?

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Q132

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associate. In how many different ways can this be done if the committee should have 2 trainees and 3 research associates?

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Q133

In how many different ways can the letters of the word CREAM be arranged?

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Q134

In how many different ways can the letters of the word ALLAHABAD be arranged?

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Q135

From a group of 7 men 6 women, 5 persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

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Q136

In how many different ways can the letters of the word BANKING be arranged in such a way that the vowels always come together?

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Q137

A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the draw?

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Q138

Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 women, and 2 men. In how many different ways can it be done?

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Q139

In how many different ways can the letters of the word BANANA be arranged?

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Q140

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?

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