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In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?

A group consists of 10 boys and 10 girls. In how many ways can 6 boys and 4 girls be selected from the group?

In how many different ways can 6 History and 5Hindi books be arranged in a shelf so that they are arranged alternately?

From a group of 8 girls and 7 boys, a committee of 9 is to be formed. In how many ways can the committee be formed if it must include at least 6 girls?

How many straight lines can be formed from 9 points out of which 4 are colinear?

In a group of 9 boys and 6 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.

How many different 10-letter words (with or without meaning) can be formed using all the letters of the word "TEMPTATION"?

Find total number of ways in which the word “POSSESSION” can be arranged.

Number of 4-digit numbers that can be formed using digits 1–9 without repetition and are divisible by 5.

Using all the letters of the word CANOER, how many words start with a vowel but end with a consonant?