Permutation and Combination Test 1


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Instructions:

→Total Number of questions : 10

→Time allotted : 15 Minutes

→Each question carry 1 mark, no negative mark

→Do Not refresh the page

!!! All The Best !!!

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1) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated?
2) In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
3) In a birthday party, every person shakes hand with every other person. If there was a total of 28 handshakes in the party, how many persons were present in the party?
4) 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?
5) How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
6) How many two digit numbers can be generated using the digits 1,2,3,4 without repeating any digit?
7) In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
8) In how many ways can 7 beads can be arranged to form a necklace?
9) In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
10) Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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