A group consists of 8 boys and 6 girls. In how many ways can 4 boys and 2 girls be selected from the group?
Eight dancers out of which 3 are from the same team and the rest are solo performers have to perform in a sequence. Find the number of sequences in whic...
A box contains 2 blue, 3 black and 5 orange 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...
An examinee is required to answer 7 questions out of 14 questions, which are divided into two groups each containing 7 questions. He is not permitted to...
From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "PAINTER"?
11 people decided to spend an afternoon in two groups. A group of them decided to go to the theater and the remaining decided to play tennis. In how man...
Find the quantity of arrangements of the letters of the word INDEPENDENCE if all the vowels always occur together?
7 children are to be selected from a group of 8 boys and 6 girls. In how many ways will the children with at most 3 girls and at least 4 boys be selected?
A man has 15 friends out of which 7 are his relatives. In how many ways can he invite his 9 friends in which at least 5 must be his relatives?
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