Question
A selection of 7 cars must be made from a total of 13 cars for an exhibition. However, one specific car must always be included in the selection. If the cars are chosen one by one, determine the total number of ways in which this selection can be made.
More Permutation and combination Questions
- How many 5-digit numbers can be formed using digits 1–7 such that digits are odd-even-odd-even-odd?
- A group consists of 11 boys and 9 girls. In how many ways can 7 boys and 5 girls be selected from the group?
- A group consists of 7 boys and 12 girls. In how many ways can 3 boys and 5 girls be selected from the group?
- From the digits 1, 2, 3, 4, 5, 6 and 7, how many 4‑digit even numbers can be formed without repetition?
- Find total number of ways in which the word “POSSESSION” can be arranged.
- How many ways can 8 women and 8 men be seated around a circular table where no two women can sit together?
- In how many different ways can the letters of the word ‘NATURE’ be arranged in such a way that the vowels occupy only the odd positions?
- Among a set of 6 black balls and 3 white balls, how many selections of 5 balls can be made such that at least 3 of them are black balls?
- A group consists of 10 boys and 10 girls. In how many ways can 6 boys and 4 girls be selected from the group?
- How many words can be formed from the word INCREASE in which both E’s do not come together?
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