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Permutation & Combination MCQ's

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference.

S Permutation & Combination

(i) $$^{37}C_{4}$$ ,(ii) $$^{14}C_2$$ x $$^{23}C_2$$

(i) $$^{37}P_{4}$$ , (ii) $$^{14}P_{2}$$ x $$^{23}P_2$$

(i) $$^{37}P_{4}$$ , (ii) $$^{14}C_{2}$$ x $$^{23}C_{2}$$

(ii) $$ ^{37}C_{4}$$ , (ii) $$^{14}C_{2}$$ x $$^{23}P_{2}$$

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Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

S Permutation & Combination

210

1050

25200

21400

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In how many ways can the letters of the word 'LEADER' be arranged?

S Permutation & Combination

144

360

720

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From a group of 7 men and 6 women, five 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?

S Permutation & Combination

564

645

735

756

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

S Permutation & Combination

360

480

720

5040

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

S Permutation & Combination

810

1440

2880

50400

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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

S Permutation & Combination

159

194

205

209

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How many 3-digit numbers can be formed from the digits 2, 3, 4, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

S Permutation & Combination

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

S Permutation & Combination

266

5040

11760

86400

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

S Permutation & Combination

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Question and answers in Permutation & Combination, Permutation & Combination multiple choice questions and answers, permutation-combination Important MCQs, Solved MCQs for permutation-combination, permutation-combination MCQs with answers PDF download

Permutation & Combination MCQ's

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